StateSpaceModels

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Results with Julia v1.2.0

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 Resolving package versions...
 Installed PDMats ───────────────── v0.9.10
 Installed Missings ─────────────── v0.4.3
 Installed DataAPI ──────────────── v1.1.0
 Installed CommonSubexpressions ─── v0.2.0
 Installed BinaryProvider ───────── v0.5.8
 Installed StatsBase ────────────── v0.32.0
 Installed LineSearches ─────────── v7.0.1
 Installed StateSpaceModels ─────── v0.3.1
 Installed OrderedCollections ───── v1.1.0
 Installed StatsFuns ────────────── v0.9.0
 Installed Requires ─────────────── v0.5.2
 Installed URIParser ────────────── v0.4.0
 Installed ForwardDiff ──────────── v0.10.7
 Installed NLSolversBase ────────── v7.5.0
 Installed Compat ───────────────── v2.2.0
 Installed Rmath ────────────────── v0.5.1
 Installed Calculus ─────────────── v0.5.1
 Installed Distributions ────────── v0.21.9
 Installed DiffRules ────────────── v0.1.0
 Installed FillArrays ───────────── v0.8.2
 Installed DataStructures ───────── v0.17.6
 Installed StaticArrays ─────────── v0.12.1
 Installed DiffEqDiffTools ──────── v1.5.0
 Installed NaNMath ──────────────── v0.3.3
 Installed ArrayInterface ───────── v2.0.0
 Installed Parameters ───────────── v0.12.0
 Installed SortingAlgorithms ────── v0.3.1
 Installed QuadGK ───────────────── v2.1.1
 Installed PositiveFactorizations ─ v0.2.3
 Installed DiffResults ──────────── v0.0.4
 Installed SpecialFunctions ─────── v0.8.0
 Installed Optim ────────────────── v0.19.5
 Installed BinDeps ──────────────── v0.8.10
 Installed Arpack ───────────────── v0.3.1
  Updating `~/.julia/environments/v1.2/Project.toml`
  [99342f36] + StateSpaceModels v0.3.1
  Updating `~/.julia/environments/v1.2/Manifest.toml`
  [7d9fca2a] + Arpack v0.3.1
  [4fba245c] + ArrayInterface v2.0.0
  [9e28174c] + BinDeps v0.8.10
  [b99e7846] + BinaryProvider v0.5.8
  [49dc2e85] + Calculus v0.5.1
  [bbf7d656] + CommonSubexpressions v0.2.0
  [34da2185] + Compat v2.2.0
  [9a962f9c] + DataAPI v1.1.0
  [864edb3b] + DataStructures v0.17.6
  [01453d9d] + DiffEqDiffTools v1.5.0
  [163ba53b] + DiffResults v0.0.4
  [b552c78f] + DiffRules v0.1.0
  [31c24e10] + Distributions v0.21.9
  [1a297f60] + FillArrays v0.8.2
  [f6369f11] + ForwardDiff v0.10.7
  [d3d80556] + LineSearches v7.0.1
  [e1d29d7a] + Missings v0.4.3
  [d41bc354] + NLSolversBase v7.5.0
  [77ba4419] + NaNMath v0.3.3
  [429524aa] + Optim v0.19.5
  [bac558e1] + OrderedCollections v1.1.0
  [90014a1f] + PDMats v0.9.10
  [d96e819e] + Parameters v0.12.0
  [85a6dd25] + PositiveFactorizations v0.2.3
  [1fd47b50] + QuadGK v2.1.1
  [ae029012] + Requires v0.5.2
  [79098fc4] + Rmath v0.5.1
  [a2af1166] + SortingAlgorithms v0.3.1
  [276daf66] + SpecialFunctions v0.8.0
  [99342f36] + StateSpaceModels v0.3.1
  [90137ffa] + StaticArrays v0.12.1
  [2913bbd2] + StatsBase v0.32.0
  [4c63d2b9] + StatsFuns v0.9.0
  [30578b45] + URIParser v0.4.0
  [2a0f44e3] + Base64 
  [ade2ca70] + Dates 
  [8bb1440f] + DelimitedFiles 
  [8ba89e20] + Distributed 
  [b77e0a4c] + InteractiveUtils 
  [76f85450] + LibGit2 
  [8f399da3] + Libdl 
  [37e2e46d] + LinearAlgebra 
  [56ddb016] + Logging 
  [d6f4376e] + Markdown 
  [a63ad114] + Mmap 
  [44cfe95a] + Pkg 
  [de0858da] + Printf 
  [3fa0cd96] + REPL 
  [9a3f8284] + Random 
  [ea8e919c] + SHA 
  [9e88b42a] + Serialization 
  [1a1011a3] + SharedArrays 
  [6462fe0b] + Sockets 
  [2f01184e] + SparseArrays 
  [10745b16] + Statistics 
  [4607b0f0] + SuiteSparse 
  [8dfed614] + Test 
  [cf7118a7] + UUIDs 
  [4ec0a83e] + Unicode 
  Building Rmath ───────────→ `~/.julia/packages/Rmath/4wt82/deps/build.log`
  Building SpecialFunctions → `~/.julia/packages/SpecialFunctions/ne2iw/deps/build.log`
  Building Arpack ──────────→ `~/.julia/packages/Arpack/cu5By/deps/build.log`
   Testing StateSpaceModels
 Resolving package versions...
 Installed ArrayLayouts ──────────────── v0.1.5
 Installed TableTraits ───────────────── v1.0.0
 Installed InvertedIndices ───────────── v1.0.0
 Installed PooledArrays ──────────────── v0.5.2
 Installed DataValueInterfaces ───────── v1.0.0
 Installed Reexport ──────────────────── v0.2.0
 Installed DataFrames ────────────────── v0.19.4
 Installed Tables ────────────────────── v0.2.11
 Installed FilePathsBase ─────────────── v0.7.0
 Installed WeakRefStrings ────────────── v0.6.1
 Installed JSON ──────────────────────── v0.21.0
 Installed Parsers ───────────────────── v0.3.10
 Installed IteratorInterfaceExtensions ─ v1.0.0
 Installed CategoricalArrays ─────────── v0.7.3
 Installed LazyArrays ────────────────── v0.14.10
 Installed MacroTools ────────────────── v0.5.2
 Installed CSV ───────────────────────── v0.5.18
    Status `/tmp/jl_5HvaIR/Manifest.toml`
  [7d9fca2a] Arpack v0.3.1
  [4fba245c] ArrayInterface v2.0.0
  [4c555306] ArrayLayouts v0.1.5
  [9e28174c] BinDeps v0.8.10
  [b99e7846] BinaryProvider v0.5.8
  [336ed68f] CSV v0.5.18
  [49dc2e85] Calculus v0.5.1
  [324d7699] CategoricalArrays v0.7.3
  [bbf7d656] CommonSubexpressions v0.2.0
  [34da2185] Compat v2.2.0
  [9a962f9c] DataAPI v1.1.0
  [a93c6f00] DataFrames v0.19.4
  [864edb3b] DataStructures v0.17.6
  [e2d170a0] DataValueInterfaces v1.0.0
  [01453d9d] DiffEqDiffTools v1.5.0
  [163ba53b] DiffResults v0.0.4
  [b552c78f] DiffRules v0.1.0
  [31c24e10] Distributions v0.21.9
  [48062228] FilePathsBase v0.7.0
  [1a297f60] FillArrays v0.8.2
  [f6369f11] ForwardDiff v0.10.7
  [41ab1584] InvertedIndices v1.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [682c06a0] JSON v0.21.0
  [5078a376] LazyArrays v0.14.10
  [d3d80556] LineSearches v7.0.1
  [1914dd2f] MacroTools v0.5.2
  [e1d29d7a] Missings v0.4.3
  [d41bc354] NLSolversBase v7.5.0
  [77ba4419] NaNMath v0.3.3
  [429524aa] Optim v0.19.5
  [bac558e1] OrderedCollections v1.1.0
  [90014a1f] PDMats v0.9.10
  [d96e819e] Parameters v0.12.0
  [69de0a69] Parsers v0.3.10
  [2dfb63ee] PooledArrays v0.5.2
  [85a6dd25] PositiveFactorizations v0.2.3
  [1fd47b50] QuadGK v2.1.1
  [189a3867] Reexport v0.2.0
  [ae029012] Requires v0.5.2
  [79098fc4] Rmath v0.5.1
  [a2af1166] SortingAlgorithms v0.3.1
  [276daf66] SpecialFunctions v0.8.0
  [99342f36] StateSpaceModels v0.3.1
  [90137ffa] StaticArrays v0.12.1
  [2913bbd2] StatsBase v0.32.0
  [4c63d2b9] StatsFuns v0.9.0
  [3783bdb8] TableTraits v1.0.0
  [bd369af6] Tables v0.2.11
  [30578b45] URIParser v0.4.0
  [ea10d353] WeakRefStrings v0.6.1
  [2a0f44e3] Base64  [`@stdlib/Base64`]
  [ade2ca70] Dates  [`@stdlib/Dates`]
  [8bb1440f] DelimitedFiles  [`@stdlib/DelimitedFiles`]
  [8ba89e20] Distributed  [`@stdlib/Distributed`]
  [9fa8497b] Future  [`@stdlib/Future`]
  [b77e0a4c] InteractiveUtils  [`@stdlib/InteractiveUtils`]
  [76f85450] LibGit2  [`@stdlib/LibGit2`]
  [8f399da3] Libdl  [`@stdlib/Libdl`]
  [37e2e46d] LinearAlgebra  [`@stdlib/LinearAlgebra`]
  [56ddb016] Logging  [`@stdlib/Logging`]
  [d6f4376e] Markdown  [`@stdlib/Markdown`]
  [a63ad114] Mmap  [`@stdlib/Mmap`]
  [44cfe95a] Pkg  [`@stdlib/Pkg`]
  [de0858da] Printf  [`@stdlib/Printf`]
  [3fa0cd96] REPL  [`@stdlib/REPL`]
  [9a3f8284] Random  [`@stdlib/Random`]
  [ea8e919c] SHA  [`@stdlib/SHA`]
  [9e88b42a] Serialization  [`@stdlib/Serialization`]
  [1a1011a3] SharedArrays  [`@stdlib/SharedArrays`]
  [6462fe0b] Sockets  [`@stdlib/Sockets`]
  [2f01184e] SparseArrays  [`@stdlib/SparseArrays`]
  [10745b16] Statistics  [`@stdlib/Statistics`]
  [4607b0f0] SuiteSparse  [`@stdlib/SuiteSparse`]
  [8dfed614] Test  [`@stdlib/Test`]
  [cf7118a7] UUIDs  [`@stdlib/UUIDs`]
  [4ec0a83e] Unicode  [`@stdlib/Unicode`]
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           108.2529      |          5.12     ||
||       2    |           108.2529      |          5.18     ||
||       3    |           108.2529      |          5.19     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   108.2529                  
                             AIC:  -212.5059                  
                             BIC:  -211.0898                  
             End of state-space model estimation.             
==============================================================
A time-invariant state-space model with
n = 15,
p = 1,
m = 1,
r = 1.
An estimated state-space model with
filter_type = KalmanFilter{Float64},
optimization_method = LBFGS{Float64}.
Test Summary: | Pass  Total
utils.jl      |   35     35
Test Summary:      | Pass  Total
User defined model |    3      3
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.02     ||
||       2    |          -210.7746      |          0.05     ||
||       3    |          -234.6573      |          0.07     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          2.42     ||
||       2    |          -217.6823      |          2.60     ||
||       3    |          -217.6823      |          2.75     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3647                  
                             BIC:   444.5750                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.01     ||
||       2    |          -235.7121      |          0.02     ||
||       3    |          -210.7746      |          0.03     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7742      |          5.23     ||
||       2    |          -210.7742      |          5.25     ||
||       3    |          -210.7742      |          5.29     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7742                  
                             AIC:   425.5483                  
                             BIC:   430.7587                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          0.42     ||
||       2    |          -217.6823      |          0.57     ||
||       3    |          -217.6823      |          0.84     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3646                  
                             BIC:   444.5749                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7742      |          0.01     ||
||       2    |          -210.7741      |          0.02     ||
||       3    |          -210.7742      |          0.04     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7741                  
                             AIC:   425.5482                  
                             BIC:   430.7585                  
             End of state-space model estimation.             
==============================================================
Test Summary:                        | Pass  Total
Local level model with Kalman filter |   25     25
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -3683.6330      |         12.89     ||
||       2    |         -3683.6330      |         25.06     ||
||       3    |         -3683.6330      |         41.48     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -3683.6330                  
                             AIC:  7379.2659                  
                             BIC:  7412.8714                  
             End of state-space model estimation.             
==============================================================
Test Summary:                | Pass  Total
Correlated multivariate test |    2      2
Test Summary:                | Pass  Total
Unknowns in Z, T, R, H and Q |   42     42
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.09     ||
||       2    |            85.7998      |          0.21     ||
||       3    |            85.7998      |          0.32     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            66.8085      |          1.22     ||
||       2    |            66.8085      |          1.85     ||
||       3    |            66.8085      |          2.37     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    66.8085                  
                             AIC:  -127.6170                  
                             BIC:  -125.4928                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.04     ||
||       2    |            85.7998      |          0.08     ||
||       3    |            85.7998      |          0.13     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           157.2346      |          0.18     ||
||       2    |           157.2346      |          0.30     ||
||       3    |           157.2346      |          0.47     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   157.2346                  
                             AIC:  -308.4692                  
                             BIC:  -304.2656                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
Linear trend  |   22     22
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          0.22     ||
||       2    |           169.2796      |          0.52     ||
||       3    |           169.2796      |          0.77     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            23.7892      |          0.19     ||
||       2    |            23.7892      |          0.42     ||
||       3    |            23.7894      |          0.68     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    23.7894                  
                             AIC:   -39.5787                  
                             BIC:   -36.7465                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.10     ||
||       2    |            85.7998      |          0.19     ||
||       3    |            85.7998      |          0.29     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
Test Summary:          | Pass  Total
Structural model tests |   16     16
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -1440.9519      |          0.45     ||
||       2    |         -1440.9519      |          1.07     ||
||       3    |         -1440.9519      |          1.63     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -1440.9519                  
                             AIC:  2883.9038                  
                             BIC:  2888.8116                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
regression    |    2      2
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          0.21     ||
||       2    |           169.2796      |          0.46     ||
||       3    |           169.2796      |          0.73     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
Test Summary:            | Pass  Total
Affine series simulation |    7      7
Test Summary: | Pass  Total
LBFGS         |    5      5
Test Summary: | Pass  Total
BFGS          |    5      5
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          3.87     ||
||       2    |           127.6171      |          7.25     ||
||       3    |           127.6171      |         11.00     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            37.8017      |         28.26     ||
||       2    |            37.8017      |         37.83     ||
||       3    |            37.8017      |         55.51     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    37.8017                  
                             AIC:   -67.6034                  
                             BIC:   -55.7242                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          3.09     ||
||       2    |           127.6171      |          5.87     ||
||       3    |           127.6171      |          8.56     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48976                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73842              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48969                
                  Ljung-Box: p-value = 0.00318                 
           Homoscedasticity: p-value = 0.73848              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48967                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73856              
==============================================================
Test Summary:                     | Pass  Total
Air passengers with Kalman filter |   21     21
   Testing StateSpaceModels tests passed 

Results with Julia v1.3.0

Testing was successful. Last evaluation was ago and took 9 minutes, 36 seconds.

Click here to download the log file.

 Resolving package versions...
 Installed URIParser ────────────── v0.4.0
 Installed SortingAlgorithms ────── v0.3.1
 Installed DiffResults ──────────── v0.0.4
 Installed Arpack ───────────────── v0.3.1
 Installed DataStructures ───────── v0.17.6
 Installed StaticArrays ─────────── v0.12.1
 Installed LineSearches ─────────── v7.0.1
 Installed StateSpaceModels ─────── v0.3.1
 Installed QuadGK ───────────────── v2.1.1
 Installed BinaryProvider ───────── v0.5.8
 Installed Compat ───────────────── v2.2.0
 Installed NLSolversBase ────────── v7.5.0
 Installed StatsFuns ────────────── v0.9.0
 Installed Distributions ────────── v0.21.9
 Installed Missings ─────────────── v0.4.3
 Installed OrderedCollections ───── v1.1.0
 Installed Parameters ───────────── v0.12.0
 Installed Rmath ────────────────── v0.5.1
 Installed PositiveFactorizations ─ v0.2.3
 Installed SpecialFunctions ─────── v0.8.0
 Installed BinDeps ──────────────── v0.8.10
 Installed DataAPI ──────────────── v1.1.0
 Installed NaNMath ──────────────── v0.3.3
 Installed CommonSubexpressions ─── v0.2.0
 Installed ForwardDiff ──────────── v0.10.7
 Installed DiffEqDiffTools ──────── v1.5.0
 Installed ArrayInterface ───────── v2.0.0
 Installed Optim ────────────────── v0.19.5
 Installed DiffRules ────────────── v0.1.0
 Installed Calculus ─────────────── v0.5.1
 Installed Requires ─────────────── v0.5.2
 Installed FillArrays ───────────── v0.8.2
 Installed PDMats ───────────────── v0.9.10
 Installed StatsBase ────────────── v0.32.0
  Updating `~/.julia/environments/v1.3/Project.toml`
  [99342f36] + StateSpaceModels v0.3.1
  Updating `~/.julia/environments/v1.3/Manifest.toml`
  [7d9fca2a] + Arpack v0.3.1
  [4fba245c] + ArrayInterface v2.0.0
  [9e28174c] + BinDeps v0.8.10
  [b99e7846] + BinaryProvider v0.5.8
  [49dc2e85] + Calculus v0.5.1
  [bbf7d656] + CommonSubexpressions v0.2.0
  [34da2185] + Compat v2.2.0
  [9a962f9c] + DataAPI v1.1.0
  [864edb3b] + DataStructures v0.17.6
  [01453d9d] + DiffEqDiffTools v1.5.0
  [163ba53b] + DiffResults v0.0.4
  [b552c78f] + DiffRules v0.1.0
  [31c24e10] + Distributions v0.21.9
  [1a297f60] + FillArrays v0.8.2
  [f6369f11] + ForwardDiff v0.10.7
  [d3d80556] + LineSearches v7.0.1
  [e1d29d7a] + Missings v0.4.3
  [d41bc354] + NLSolversBase v7.5.0
  [77ba4419] + NaNMath v0.3.3
  [429524aa] + Optim v0.19.5
  [bac558e1] + OrderedCollections v1.1.0
  [90014a1f] + PDMats v0.9.10
  [d96e819e] + Parameters v0.12.0
  [85a6dd25] + PositiveFactorizations v0.2.3
  [1fd47b50] + QuadGK v2.1.1
  [ae029012] + Requires v0.5.2
  [79098fc4] + Rmath v0.5.1
  [a2af1166] + SortingAlgorithms v0.3.1
  [276daf66] + SpecialFunctions v0.8.0
  [99342f36] + StateSpaceModels v0.3.1
  [90137ffa] + StaticArrays v0.12.1
  [2913bbd2] + StatsBase v0.32.0
  [4c63d2b9] + StatsFuns v0.9.0
  [30578b45] + URIParser v0.4.0
  [2a0f44e3] + Base64 
  [ade2ca70] + Dates 
  [8bb1440f] + DelimitedFiles 
  [8ba89e20] + Distributed 
  [b77e0a4c] + InteractiveUtils 
  [76f85450] + LibGit2 
  [8f399da3] + Libdl 
  [37e2e46d] + LinearAlgebra 
  [56ddb016] + Logging 
  [d6f4376e] + Markdown 
  [a63ad114] + Mmap 
  [44cfe95a] + Pkg 
  [de0858da] + Printf 
  [3fa0cd96] + REPL 
  [9a3f8284] + Random 
  [ea8e919c] + SHA 
  [9e88b42a] + Serialization 
  [1a1011a3] + SharedArrays 
  [6462fe0b] + Sockets 
  [2f01184e] + SparseArrays 
  [10745b16] + Statistics 
  [4607b0f0] + SuiteSparse 
  [8dfed614] + Test 
  [cf7118a7] + UUIDs 
  [4ec0a83e] + Unicode 
  Building Arpack ──────────→ `~/.julia/packages/Arpack/cu5By/deps/build.log`
  Building Rmath ───────────→ `~/.julia/packages/Rmath/4wt82/deps/build.log`
  Building SpecialFunctions → `~/.julia/packages/SpecialFunctions/ne2iw/deps/build.log`
   Testing StateSpaceModels
 Resolving package versions...
 Installed LazyArrays ────────────────── v0.14.10
 Installed CategoricalArrays ─────────── v0.7.3
 Installed InvertedIndices ───────────── v1.0.0
 Installed Parsers ───────────────────── v0.3.10
 Installed TableTraits ───────────────── v1.0.0
 Installed MacroTools ────────────────── v0.5.2
 Installed ArrayLayouts ──────────────── v0.1.5
 Installed JSON ──────────────────────── v0.21.0
 Installed CSV ───────────────────────── v0.5.18
 Installed DataValueInterfaces ───────── v1.0.0
 Installed Tables ────────────────────── v0.2.11
 Installed IteratorInterfaceExtensions ─ v1.0.0
 Installed FilePathsBase ─────────────── v0.7.0
 Installed PooledArrays ──────────────── v0.5.2
 Installed Reexport ──────────────────── v0.2.0
 Installed WeakRefStrings ────────────── v0.6.1
 Installed DataFrames ────────────────── v0.19.4
    Status `/tmp/jl_Sg2X7B/Manifest.toml`
  [7d9fca2a] Arpack v0.3.1
  [4fba245c] ArrayInterface v2.0.0
  [4c555306] ArrayLayouts v0.1.5
  [9e28174c] BinDeps v0.8.10
  [b99e7846] BinaryProvider v0.5.8
  [336ed68f] CSV v0.5.18
  [49dc2e85] Calculus v0.5.1
  [324d7699] CategoricalArrays v0.7.3
  [bbf7d656] CommonSubexpressions v0.2.0
  [34da2185] Compat v2.2.0
  [9a962f9c] DataAPI v1.1.0
  [a93c6f00] DataFrames v0.19.4
  [864edb3b] DataStructures v0.17.6
  [e2d170a0] DataValueInterfaces v1.0.0
  [01453d9d] DiffEqDiffTools v1.5.0
  [163ba53b] DiffResults v0.0.4
  [b552c78f] DiffRules v0.1.0
  [31c24e10] Distributions v0.21.9
  [48062228] FilePathsBase v0.7.0
  [1a297f60] FillArrays v0.8.2
  [f6369f11] ForwardDiff v0.10.7
  [41ab1584] InvertedIndices v1.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [682c06a0] JSON v0.21.0
  [5078a376] LazyArrays v0.14.10
  [d3d80556] LineSearches v7.0.1
  [1914dd2f] MacroTools v0.5.2
  [e1d29d7a] Missings v0.4.3
  [d41bc354] NLSolversBase v7.5.0
  [77ba4419] NaNMath v0.3.3
  [429524aa] Optim v0.19.5
  [bac558e1] OrderedCollections v1.1.0
  [90014a1f] PDMats v0.9.10
  [d96e819e] Parameters v0.12.0
  [69de0a69] Parsers v0.3.10
  [2dfb63ee] PooledArrays v0.5.2
  [85a6dd25] PositiveFactorizations v0.2.3
  [1fd47b50] QuadGK v2.1.1
  [189a3867] Reexport v0.2.0
  [ae029012] Requires v0.5.2
  [79098fc4] Rmath v0.5.1
  [a2af1166] SortingAlgorithms v0.3.1
  [276daf66] SpecialFunctions v0.8.0
  [99342f36] StateSpaceModels v0.3.1
  [90137ffa] StaticArrays v0.12.1
  [2913bbd2] StatsBase v0.32.0
  [4c63d2b9] StatsFuns v0.9.0
  [3783bdb8] TableTraits v1.0.0
  [bd369af6] Tables v0.2.11
  [30578b45] URIParser v0.4.0
  [ea10d353] WeakRefStrings v0.6.1
  [2a0f44e3] Base64  [`@stdlib/Base64`]
  [ade2ca70] Dates  [`@stdlib/Dates`]
  [8bb1440f] DelimitedFiles  [`@stdlib/DelimitedFiles`]
  [8ba89e20] Distributed  [`@stdlib/Distributed`]
  [9fa8497b] Future  [`@stdlib/Future`]
  [b77e0a4c] InteractiveUtils  [`@stdlib/InteractiveUtils`]
  [76f85450] LibGit2  [`@stdlib/LibGit2`]
  [8f399da3] Libdl  [`@stdlib/Libdl`]
  [37e2e46d] LinearAlgebra  [`@stdlib/LinearAlgebra`]
  [56ddb016] Logging  [`@stdlib/Logging`]
  [d6f4376e] Markdown  [`@stdlib/Markdown`]
  [a63ad114] Mmap  [`@stdlib/Mmap`]
  [44cfe95a] Pkg  [`@stdlib/Pkg`]
  [de0858da] Printf  [`@stdlib/Printf`]
  [3fa0cd96] REPL  [`@stdlib/REPL`]
  [9a3f8284] Random  [`@stdlib/Random`]
  [ea8e919c] SHA  [`@stdlib/SHA`]
  [9e88b42a] Serialization  [`@stdlib/Serialization`]
  [1a1011a3] SharedArrays  [`@stdlib/SharedArrays`]
  [6462fe0b] Sockets  [`@stdlib/Sockets`]
  [2f01184e] SparseArrays  [`@stdlib/SparseArrays`]
  [10745b16] Statistics  [`@stdlib/Statistics`]
  [4607b0f0] SuiteSparse  [`@stdlib/SuiteSparse`]
  [8dfed614] Test  [`@stdlib/Test`]
  [cf7118a7] UUIDs  [`@stdlib/UUIDs`]
  [4ec0a83e] Unicode  [`@stdlib/Unicode`]
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           108.2529      |          5.23     ||
||       2    |           108.2529      |          5.27     ||
||       3    |           108.2529      |          5.30     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   108.2529                  
                             AIC:  -212.5059                  
                             BIC:  -211.0898                  
             End of state-space model estimation.             
==============================================================
A time-invariant state-space model with
n = 15,
p = 1,
m = 1,
r = 1.
An estimated state-space model with
filter_type = KalmanFilter{Float64},
optimization_method = LBFGS{Float64}.
Test Summary: | Pass  Total
utils.jl      |   35     35
Test Summary:      | Pass  Total
User defined model |    3      3
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.03     ||
||       2    |          -246.7511      |          0.04     ||
||       3    |          -210.7746      |          0.06     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          2.80     ||
||       2    |          -217.6823      |          3.01     ||
||       3    |          -217.6823      |          3.20     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3647                  
                             BIC:   444.5750                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.02     ||
||       2    |          -210.7746      |          0.03     ||
||       3    |          -210.7746      |          0.04     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7744      |          5.26     ||
||       2    |          -210.7735      |          5.30     ||
||       3    |          -210.7742      |          5.32     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7735                  
                             AIC:   425.5471                  
                             BIC:   430.7574                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          0.68     ||
||       2    |          -217.6823      |          1.45     ||
||       3    |          -217.6823      |          1.57     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3646                  
                             BIC:   444.5750                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7787      |          0.02     ||
||       2    |          -210.7742      |          0.03     ||
||       3    |          -210.7743      |          0.04     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7742                  
                             AIC:   425.5484                  
                             BIC:   430.7588                  
             End of state-space model estimation.             
==============================================================
Test Summary:                        | Pass  Total
Local level model with Kalman filter |   25     25
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -3683.6330      |         12.83     ||
||       2    |         -3683.6330      |         24.14     ||
||       3    |         -3683.6330      |         39.70     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -3683.6330                  
                             AIC:  7379.2659                  
                             BIC:  7412.8714                  
             End of state-space model estimation.             
==============================================================
Test Summary:                | Pass  Total
Correlated multivariate test |    2      2
Test Summary:                | Pass  Total
Unknowns in Z, T, R, H and Q |   42     42
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.09     ||
||       2    |            85.7998      |          0.17     ||
||       3    |            85.7998      |          0.27     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            66.8085      |          1.13     ||
||       2    |            66.8085      |          1.61     ||
||       3    |            66.8085      |          1.95     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    66.8085                  
                             AIC:  -127.6170                  
                             BIC:  -125.4928                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.04     ||
||       2    |            85.7998      |          0.07     ||
||       3    |            85.7998      |          0.11     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           157.2346      |          0.11     ||
||       2    |           157.2346      |          0.23     ||
||       3    |           157.2346      |          0.38     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   157.2346                  
                             AIC:  -308.4692                  
                             BIC:  -304.2656                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
Linear trend  |   22     22
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          0.26     ||
||       2    |           169.2796      |          0.49     ||
||       3    |           169.2796      |          0.83     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            24.3814      |          0.18     ||
||       2    |            24.3814      |          0.46     ||
||       3    |            24.3814      |          0.66     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    24.3814                  
                             AIC:   -40.7627                  
                             BIC:   -37.9305                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.11     ||
||       2    |            85.7998      |          0.20     ||
||       3    |            85.7998      |          0.34     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
Test Summary:          | Pass  Total
Structural model tests |   16     16
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -1440.9519      |          0.47     ||
||       2    |         -1440.9519      |          1.06     ||
||       3    |         -1440.9519      |          1.69     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -1440.9519                  
                             AIC:  2883.9038                  
                             BIC:  2888.8116                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
regression    |    2      2
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          0.25     ||
||       2    |           169.2796      |          0.46     ||
||       3    |           169.2796      |          0.70     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
Test Summary:            | Pass  Total
Affine series simulation |    7      7
Test Summary: | Pass  Total
LBFGS         |    5      5
Test Summary: | Pass  Total
BFGS          |    5      5
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          3.53     ||
||       2    |           127.6171      |          7.24     ||
||       3    |           127.6171      |         10.29     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            37.8017      |         35.14     ||
||       2    |            37.8017      |         56.03     ||
||       3    |            37.8017      |         75.84     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    37.8017                  
                             AIC:   -67.6034                  
                             BIC:   -55.7242                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          3.66     ||
||       2    |           127.6171      |          6.05     ||
||       3    |           127.6171      |          9.18     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48966                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73856              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48969                
                  Ljung-Box: p-value = 0.00318                 
           Homoscedasticity: p-value = 0.73848              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48968                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73865              
==============================================================
Test Summary:                     | Pass  Total
Air passengers with Kalman filter |   21     21
   Testing StateSpaceModels tests passed 

Results with Julia v1.3.1-pre-7704df0a5a

Testing was successful. Last evaluation was ago and took 10 minutes, 8 seconds.

Click here to download the log file.

 Resolving package versions...
 Installed NaNMath ──────────────── v0.3.3
 Installed Compat ───────────────── v2.2.0
 Installed QuadGK ───────────────── v2.1.1
 Installed DataStructures ───────── v0.17.6
 Installed SpecialFunctions ─────── v0.8.0
 Installed StaticArrays ─────────── v0.12.1
 Installed StateSpaceModels ─────── v0.3.1
 Installed Optim ────────────────── v0.19.5
 Installed BinDeps ──────────────── v0.8.10
 Installed DiffResults ──────────── v0.0.4
 Installed Arpack ───────────────── v0.3.1
 Installed LineSearches ─────────── v7.0.1
 Installed Calculus ─────────────── v0.5.1
 Installed FillArrays ───────────── v0.8.2
 Installed StatsBase ────────────── v0.32.0
 Installed ForwardDiff ──────────── v0.10.7
 Installed URIParser ────────────── v0.4.0
 Installed CommonSubexpressions ─── v0.2.0
 Installed Parameters ───────────── v0.12.0
 Installed Missings ─────────────── v0.4.3
 Installed Rmath ────────────────── v0.5.1
 Installed DiffRules ────────────── v0.1.0
 Installed BinaryProvider ───────── v0.5.8
 Installed Requires ─────────────── v0.5.2
 Installed NLSolversBase ────────── v7.5.0
 Installed StatsFuns ────────────── v0.9.0
 Installed ArrayInterface ───────── v2.0.0
 Installed PositiveFactorizations ─ v0.2.3
 Installed PDMats ───────────────── v0.9.10
 Installed DataAPI ──────────────── v1.1.0
 Installed Distributions ────────── v0.21.9
 Installed OrderedCollections ───── v1.1.0
 Installed SortingAlgorithms ────── v0.3.1
 Installed DiffEqDiffTools ──────── v1.5.0
  Updating `~/.julia/environments/v1.3/Project.toml`
  [99342f36] + StateSpaceModels v0.3.1
  Updating `~/.julia/environments/v1.3/Manifest.toml`
  [7d9fca2a] + Arpack v0.3.1
  [4fba245c] + ArrayInterface v2.0.0
  [9e28174c] + BinDeps v0.8.10
  [b99e7846] + BinaryProvider v0.5.8
  [49dc2e85] + Calculus v0.5.1
  [bbf7d656] + CommonSubexpressions v0.2.0
  [34da2185] + Compat v2.2.0
  [9a962f9c] + DataAPI v1.1.0
  [864edb3b] + DataStructures v0.17.6
  [01453d9d] + DiffEqDiffTools v1.5.0
  [163ba53b] + DiffResults v0.0.4
  [b552c78f] + DiffRules v0.1.0
  [31c24e10] + Distributions v0.21.9
  [1a297f60] + FillArrays v0.8.2
  [f6369f11] + ForwardDiff v0.10.7
  [d3d80556] + LineSearches v7.0.1
  [e1d29d7a] + Missings v0.4.3
  [d41bc354] + NLSolversBase v7.5.0
  [77ba4419] + NaNMath v0.3.3
  [429524aa] + Optim v0.19.5
  [bac558e1] + OrderedCollections v1.1.0
  [90014a1f] + PDMats v0.9.10
  [d96e819e] + Parameters v0.12.0
  [85a6dd25] + PositiveFactorizations v0.2.3
  [1fd47b50] + QuadGK v2.1.1
  [ae029012] + Requires v0.5.2
  [79098fc4] + Rmath v0.5.1
  [a2af1166] + SortingAlgorithms v0.3.1
  [276daf66] + SpecialFunctions v0.8.0
  [99342f36] + StateSpaceModels v0.3.1
  [90137ffa] + StaticArrays v0.12.1
  [2913bbd2] + StatsBase v0.32.0
  [4c63d2b9] + StatsFuns v0.9.0
  [30578b45] + URIParser v0.4.0
  [2a0f44e3] + Base64 
  [ade2ca70] + Dates 
  [8bb1440f] + DelimitedFiles 
  [8ba89e20] + Distributed 
  [b77e0a4c] + InteractiveUtils 
  [76f85450] + LibGit2 
  [8f399da3] + Libdl 
  [37e2e46d] + LinearAlgebra 
  [56ddb016] + Logging 
  [d6f4376e] + Markdown 
  [a63ad114] + Mmap 
  [44cfe95a] + Pkg 
  [de0858da] + Printf 
  [3fa0cd96] + REPL 
  [9a3f8284] + Random 
  [ea8e919c] + SHA 
  [9e88b42a] + Serialization 
  [1a1011a3] + SharedArrays 
  [6462fe0b] + Sockets 
  [2f01184e] + SparseArrays 
  [10745b16] + Statistics 
  [4607b0f0] + SuiteSparse 
  [8dfed614] + Test 
  [cf7118a7] + UUIDs 
  [4ec0a83e] + Unicode 
  Building SpecialFunctions → `~/.julia/packages/SpecialFunctions/ne2iw/deps/build.log`
  Building Arpack ──────────→ `~/.julia/packages/Arpack/cu5By/deps/build.log`
  Building Rmath ───────────→ `~/.julia/packages/Rmath/4wt82/deps/build.log`
   Testing StateSpaceModels
 Resolving package versions...
 Installed WeakRefStrings ────────────── v0.6.1
 Installed LazyArrays ────────────────── v0.14.10
 Installed ArrayLayouts ──────────────── v0.1.5
 Installed Tables ────────────────────── v0.2.11
 Installed MacroTools ────────────────── v0.5.2
 Installed TableTraits ───────────────── v1.0.0
 Installed DataFrames ────────────────── v0.19.4
 Installed Reexport ──────────────────── v0.2.0
 Installed FilePathsBase ─────────────── v0.7.0
 Installed InvertedIndices ───────────── v1.0.0
 Installed DataValueInterfaces ───────── v1.0.0
 Installed PooledArrays ──────────────── v0.5.2
 Installed CategoricalArrays ─────────── v0.7.3
 Installed IteratorInterfaceExtensions ─ v1.0.0
 Installed CSV ───────────────────────── v0.5.18
 Installed JSON ──────────────────────── v0.21.0
 Installed Parsers ───────────────────── v0.3.10
    Status `/tmp/jl_mB3vBU/Manifest.toml`
  [7d9fca2a] Arpack v0.3.1
  [4fba245c] ArrayInterface v2.0.0
  [4c555306] ArrayLayouts v0.1.5
  [9e28174c] BinDeps v0.8.10
  [b99e7846] BinaryProvider v0.5.8
  [336ed68f] CSV v0.5.18
  [49dc2e85] Calculus v0.5.1
  [324d7699] CategoricalArrays v0.7.3
  [bbf7d656] CommonSubexpressions v0.2.0
  [34da2185] Compat v2.2.0
  [9a962f9c] DataAPI v1.1.0
  [a93c6f00] DataFrames v0.19.4
  [864edb3b] DataStructures v0.17.6
  [e2d170a0] DataValueInterfaces v1.0.0
  [01453d9d] DiffEqDiffTools v1.5.0
  [163ba53b] DiffResults v0.0.4
  [b552c78f] DiffRules v0.1.0
  [31c24e10] Distributions v0.21.9
  [48062228] FilePathsBase v0.7.0
  [1a297f60] FillArrays v0.8.2
  [f6369f11] ForwardDiff v0.10.7
  [41ab1584] InvertedIndices v1.0.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [682c06a0] JSON v0.21.0
  [5078a376] LazyArrays v0.14.10
  [d3d80556] LineSearches v7.0.1
  [1914dd2f] MacroTools v0.5.2
  [e1d29d7a] Missings v0.4.3
  [d41bc354] NLSolversBase v7.5.0
  [77ba4419] NaNMath v0.3.3
  [429524aa] Optim v0.19.5
  [bac558e1] OrderedCollections v1.1.0
  [90014a1f] PDMats v0.9.10
  [d96e819e] Parameters v0.12.0
  [69de0a69] Parsers v0.3.10
  [2dfb63ee] PooledArrays v0.5.2
  [85a6dd25] PositiveFactorizations v0.2.3
  [1fd47b50] QuadGK v2.1.1
  [189a3867] Reexport v0.2.0
  [ae029012] Requires v0.5.2
  [79098fc4] Rmath v0.5.1
  [a2af1166] SortingAlgorithms v0.3.1
  [276daf66] SpecialFunctions v0.8.0
  [99342f36] StateSpaceModels v0.3.1
  [90137ffa] StaticArrays v0.12.1
  [2913bbd2] StatsBase v0.32.0
  [4c63d2b9] StatsFuns v0.9.0
  [3783bdb8] TableTraits v1.0.0
  [bd369af6] Tables v0.2.11
  [30578b45] URIParser v0.4.0
  [ea10d353] WeakRefStrings v0.6.1
  [2a0f44e3] Base64  [`@stdlib/Base64`]
  [ade2ca70] Dates  [`@stdlib/Dates`]
  [8bb1440f] DelimitedFiles  [`@stdlib/DelimitedFiles`]
  [8ba89e20] Distributed  [`@stdlib/Distributed`]
  [9fa8497b] Future  [`@stdlib/Future`]
  [b77e0a4c] InteractiveUtils  [`@stdlib/InteractiveUtils`]
  [76f85450] LibGit2  [`@stdlib/LibGit2`]
  [8f399da3] Libdl  [`@stdlib/Libdl`]
  [37e2e46d] LinearAlgebra  [`@stdlib/LinearAlgebra`]
  [56ddb016] Logging  [`@stdlib/Logging`]
  [d6f4376e] Markdown  [`@stdlib/Markdown`]
  [a63ad114] Mmap  [`@stdlib/Mmap`]
  [44cfe95a] Pkg  [`@stdlib/Pkg`]
  [de0858da] Printf  [`@stdlib/Printf`]
  [3fa0cd96] REPL  [`@stdlib/REPL`]
  [9a3f8284] Random  [`@stdlib/Random`]
  [ea8e919c] SHA  [`@stdlib/SHA`]
  [9e88b42a] Serialization  [`@stdlib/Serialization`]
  [1a1011a3] SharedArrays  [`@stdlib/SharedArrays`]
  [6462fe0b] Sockets  [`@stdlib/Sockets`]
  [2f01184e] SparseArrays  [`@stdlib/SparseArrays`]
  [10745b16] Statistics  [`@stdlib/Statistics`]
  [4607b0f0] SuiteSparse  [`@stdlib/SuiteSparse`]
  [8dfed614] Test  [`@stdlib/Test`]
  [cf7118a7] UUIDs  [`@stdlib/UUIDs`]
  [4ec0a83e] Unicode  [`@stdlib/Unicode`]
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           108.2529      |          5.56     ||
||       2    |           108.2529      |          5.61     ||
||       3    |           108.2529      |          5.66     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   108.2529                  
                             AIC:  -212.5059                  
                             BIC:  -211.0898                  
             End of state-space model estimation.             
==============================================================
A time-invariant state-space model with
n = 15,
p = 1,
m = 1,
r = 1.
An estimated state-space model with
filter_type = KalmanFilter{Float64},
optimization_method = LBFGS{Float64}.
Test Summary: | Pass  Total
utils.jl      |   35     35
Test Summary:      | Pass  Total
User defined model |    3      3
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.04     ||
||       2    |          -210.7746      |          0.05     ||
||       3    |          -210.7746      |          0.07     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          3.16     ||
||       2    |          -217.6823      |          3.34     ||
||       3    |          -217.6823      |          3.57     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3647                  
                             BIC:   444.5750                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7746      |          0.02     ||
||       2    |          -210.7746      |          0.04     ||
||       3    |          -210.7746      |          0.06     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7746                  
                             AIC:   425.5492                  
                             BIC:   430.7595                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7742      |          6.20     ||
||       2    |          -210.7742      |          6.26     ||
||       3    |          -210.7743      |          6.29     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7742                  
                             AIC:   425.5483                  
                             BIC:   430.7586                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -217.6823      |          0.81     ||
||       2    |          -217.6823      |          0.93     ||
||       3    |          -217.6823      |          1.09     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -217.6823                  
                             AIC:   439.3646                  
                             BIC:   444.5749                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |          -210.7737      |          0.01     ||
||       2    |          -210.7770      |          0.03     ||
||       3    |          -210.7742      |          0.04     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:  -210.7737                  
                             AIC:   425.5474                  
                             BIC:   430.7577                  
             End of state-space model estimation.             
==============================================================
Test Summary:                        | Pass  Total
Local level model with Kalman filter |   25     25
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -3683.6330      |         18.66     ||
||       2    |         -3683.6330      |         35.73     ||
||       3    |         -3683.6330      |         58.50     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -3683.6330                  
                             AIC:  7379.2659                  
                             BIC:  7412.8714                  
             End of state-space model estimation.             
==============================================================
Test Summary:                | Pass  Total
Correlated multivariate test |    2      2
Test Summary:                | Pass  Total
Unknowns in Z, T, R, H and Q |   42     42
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.08     ||
||       2    |            85.7998      |          0.18     ||
||       3    |            85.7998      |          0.30     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            66.8085      |          1.50     ||
||       2    |            66.8085      |          1.98     ||
||       3    |            66.8085      |          2.94     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    66.8085                  
                             AIC:  -127.6170                  
                             BIC:  -125.4928                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.05     ||
||       2    |            85.7998      |          0.17     ||
||       3    |            85.7998      |          0.30     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.00033                
                  Ljung-Box: p-value = 0.65296                 
           Homoscedasticity: p-value = 0.0              
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           157.2346      |          0.27     ||
||       2    |           157.2346      |          0.46     ||
||       3    |           157.2346      |          0.66     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   157.2346                  
                             AIC:  -308.4692                  
                             BIC:  -304.2656                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
Linear trend  |   22     22
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          1.10     ||
||       2    |           169.2796      |          1.49     ||
||       3    |           169.2796      |          1.81     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            26.2843      |          0.55     ||
||       2    |            26.2838      |          0.79     ||
||       3    |            26.2835      |          1.02     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    26.2843                  
                             AIC:   -44.5686                  
                             BIC:   -41.7364                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            85.7998      |          0.14     ||
||       2    |            85.7998      |          0.28     ||
||       3    |            85.7998      |          0.43     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    85.7998                  
                             AIC:  -165.5996                  
                             BIC:  -163.4754                  
             End of state-space model estimation.             
==============================================================
Test Summary:          | Pass  Total
Structural model tests |   16     16
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |         -1440.9519      |          0.78     ||
||       2    |         -1440.9519      |          1.75     ||
||       3    |         -1440.9519      |          2.50     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood: -1440.9519                  
                             AIC:  2883.9038                  
                             BIC:  2888.8116                  
             End of state-space model estimation.             
==============================================================
Test Summary: | Pass  Total
regression    |    2      2
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           169.2796      |          0.36     ||
||       2    |           169.2796      |          0.72     ||
||       3    |           169.2796      |          1.02     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   169.2796                  
                             AIC:  -330.5592                  
                             BIC:  -324.9544                  
             End of state-space model estimation.             
==============================================================
Test Summary:            | Pass  Total
Affine series simulation |    7      7
Test Summary: | Pass  Total
LBFGS         |    5      5
Test Summary: | Pass  Total
BFGS          |    5      5
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          5.86     ||
||       2    |           127.6171      |         10.02     ||
||       3    |           127.6171      |         16.73     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |            37.8017      |         38.59     ||
||       2    |            37.8017      |         61.42     ||
||       3    |            37.8017      |         83.77     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:    37.8017                  
                             AIC:   -67.6034                  
                             BIC:   -55.7242                  
             End of state-space model estimation.             
==============================================================
==============================================================
                  StateSpaceModels.jl v0.3.0                  
 (c) Raphael Saavedra, Guilherme Bodin, and Mario Souto, 2019 
--------------------------------------------------------------
            Starting state-space model estimation.            
    Initiating maximum likelihood estimation with 3 seeds.    
--------------------------------------------------------------
||    seed    |     log-likelihood      |      time (s)     ||
||       1    |           127.6171      |          3.69     ||
||       2    |           127.6171      |          6.69     ||
||       3    |           127.6171      |         10.12     ||
--------------------------------------------------------------
           Maximum likelihood estimation complete.            
                  Log-likelihood:   127.6171                  
                             AIC:  -247.2342                  
                             BIC:  -235.3550                  
             End of state-space model estimation.             
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48965                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73869              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48969                
                  Ljung-Box: p-value = 0.00318                 
           Homoscedasticity: p-value = 0.73848              
==============================================================
==============================================================
                    Running diagnostics...                    
                Jarque-Bera: p-value = 0.48964                
                  Ljung-Box: p-value = 0.00319                 
           Homoscedasticity: p-value = 0.73854              
==============================================================
Test Summary:                     | Pass  Total
Air passengers with Kalman filter |   21     21
   Testing StateSpaceModels tests passed