anofox-forecast 0.9.2

Time series forecasting library
Documentation
{
  "D1648": {
    "n": 346,
    "mae": 183.63490768396963,
    "model": "{'coef': {'sar1': np.float64(-0.17372428296002945), 'drift': np.float64(-18.450829886703485)}, 'sigma2': np.float64(30467.950744210935), 'var_coef': array([[0.00272718, 0.        ],\n       [0.        , 0.00289855]]), 'mask': array([ True,  True]), 'loglik': np.float64(-2269.600508347294), 'aic': np.float64(4545.201016694588), 'arma': (0, 0, 1, 0, 7, 1, 0), 'residuals': array([ 1.07684453e+01, -2.28028310e+02, -1.78788593e+02,  2.49596940e+02,\n        5.25339353e+02, -3.10694439e+01,  6.87830417e+02, -7.49967417e+02,\n        7.28225116e+02,  1.03691133e+03,  6.24813936e+01, -1.33887581e+03,\n        1.29699729e+01, -7.10211301e+02,  3.61512464e+01,  2.96949399e+02,\n        1.34066684e+02,  1.21656187e+02, -3.05244023e+02, -2.83438129e+01,\n       -2.60094534e+01, -2.28517048e+00, -5.31537919e+01,  1.09495487e+02,\n       -1.09713846e+01, -3.66373134e+02, -6.20300271e+01,  1.39028615e+02,\n       -1.62030027e+02, -4.57162412e+01, -3.59713846e+01, -6.20300271e+01,\n      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9.12544376e+01,  7.92837588e+01]), 'code': 2, 'n_cond': 0, 'nobs': np.int64(345), 'model': {'phi': array([ 0.        ,  0.        ,  0.        ,  0.        ,  0.        ,\n        0.        , -0.17372428]), 'theta': array([0., 0., 0., 0., 0., 0.]), 'delta': array([1.]), 'Z': array([1., 0., 0., 0., 0., 0., 0., 1.]), 'a': array([ 9.34508299e+01, -7.54846427e+00, -7.70381775e+01,  2.02474210e+01,\n       -9.28570710e+00,  4.89119277e+01, -2.05777855e+01,  1.09655363e+04]), 'P': array([[ 0.00000000e+000,  0.00000000e+000, -1.82559286e-088,\n         0.00000000e+000, -1.57055427e-066,  0.00000000e+000,\n        -1.16238764e-022,  6.69099113e-022],\n       [ 0.00000000e+000, -1.39192275e-044, -2.01934959e-023,\n        -1.82559286e-088, -2.72843414e-067,  4.73995264e-068,\n        -2.34726700e-045,  1.35114502e-044],\n       [-1.82559286e-088, -2.01934959e-023, -1.35114502e-044,\n         2.01934959e-023, -1.77049624e-088,  2.72843414e-067,\n        -3.24363870e-126,  1.82559286e-088],\n     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2.01934959e-023,\n         0.00000000e+000,  1.57055427e-066],\n       [-2.34726700e-045,  3.24363870e-126,  2.72843414e-067,\n        -1.77049624e-088,  2.01934959e-023, -1.35114502e-044,\n        -2.01934959e-023,  0.00000000e+000],\n       [ 0.00000000e+000,  3.17149811e-089,  0.00000000e+000,\n        -2.72843414e-067,  0.00000000e+000, -2.01934959e-023,\n         0.00000000e+000,  1.16238764e-022],\n       [ 1.35114502e-044,  0.00000000e+000,  1.82559286e-088,\n         0.00000000e+000,  1.57055427e-066,  0.00000000e+000,\n         1.16238764e-022, -6.69099113e-022]])}, 'xreg': array([[  1.],\n       [  2.],\n       [  3.],\n       [  4.],\n       [  5.],\n       [  6.],\n       [  7.],\n       [  8.],\n       [  9.],\n       [ 10.],\n       [ 11.],\n       [ 12.],\n       [ 13.],\n       [ 14.],\n       [ 15.],\n       [ 16.],\n       [ 17.],\n       [ 18.],\n       [ 19.],\n       [ 20.],\n       [ 21.],\n       [ 22.],\n       [ 23.],\n       [ 24.],\n       [ 25.],\n       [ 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351.5,   353. ,   363. ,   545.5,   602.5,\n         643.5,   664. ,   923. ,   995. ,  1046. ,  1093. ,  1110.5,\n        1128.5,  1174.5,  1229.5,  1212.5,  1206. ,  1204. ,  1211. ,\n        1230. ,  1231.5,  1237.5,  1289. ,  1288. ,  1366.5,  1443.5,\n        1493.5,  1552. ,  1629. ,  1662. ,  1724. ,  1745.5,  1747. ,\n        1827.5,  1844. ,  1856.5,  1854. ,  1903. ,  1948. ,  1959.5,\n        2011.5,  2043. ,  2070. ,  2108.5,  2084.5,  2092.5,  2164. ,\n        2225.5,  2308.5,  2351.5,  2392.5,  2441. ,  2447. ,  2459. ,\n        2446.5,  2461. ,  2501.5,  2509.5,  2524.5,  2561.5,  2576.5,\n        2580. ,  2595. ,  2594.5,  2562. ,  2581.5,  2573. ,  2585.5,\n        2604. ,  2600.5,  2569.5,  2582.5,  2569. ,  2546.5,  2570.5,\n        2544.5,  2546.5,  2548.5,  2577. ,  2611. ,  2653.5,  2618. ,\n        2610.5,  2620.5,  2611. ,  2624. ,  2586.5,  2590. ,  2545. ,\n        2545. ,  2564.5,  2569. ,  2594. ,  2605.5,  2613. ,  2653.5,\n        2655.5,  2661.5,  2647.5,  2606. ,  2578.5,  2604.5,  2624.5,\n        2632.5,  2654. ,  2750. ,  2763.5,  2770.5,  2831.5,  2838.5,\n        2855.5,  2862.5,  2871.5,  2915.5,  2909.5,  2930.5,  2965. ,\n        2981.5,  3017.5,  3037.5,  3034.5,  3035. ,  3072.5,  3002. ,\n        3035. ,  3156.5,  3233. ,  3279. ,  3305.5,  3427.5,  3479. ,\n        3412.5,  3443.5,  3470.5,  3613. ,  3607.5,  3736.5,  3802. ,\n        3923.5,  4168. ,  4343.5,  4538.5,  4540. ,  4637. ,  4720. ,\n        4796.5,  4831.5,  4886.5,  4786. ,  4869.5,  4882.5,  5001. ,\n        5060. ,  5049.5,  5020.5,  5023.5,  5044.5,  5026. ,  5137. ,\n        5236.5,  5315. ,  5313. ,  5365. ,  5512.5,  5537. ,  5508.5,\n        5527.5,  5643. ,  5926.5,  5924.5,  6296. ,  6619.5,  7189. ,\n        7596. ,  7692. ,  8130. ,  8283.5,  8396. ,  8271. ,  8107.5,\n        8129.5,  8592. ,  8842.5,  9057.5,  9260.5,  9371. ,  9632.5,\n        9789.5,  9668. ,  9863.5,  9940. ,  9952. , 10435.5, 10544. ,\n       10950. , 11693. , 12386.5, 13666.5, 14112.5, 14812. , 15035. ,\n       14961.5, 14837.5, 14443.5, 14491. , 14619.5, 14552.5, 15387.5,\n       15539. , 15052.5, 14664. , 14645.5, 14374. , 14268.5, 14043. ,\n       14285. , 13892.5, 13839.5, 13785. , 13888.5, 13899.5, 14009.5,\n       13686. , 13552.5, 13225.5, 12730.5, 12824.5, 11875. , 11550.5,\n       11385. , 11085. , 10432. , 10303.5,  9462. ,  9267. ,  8874. ,\n        8556.5,  8157.5,  6699.5,  5207.5]), 'lambda': None}",
    "forecasts": [
      3975.418881330853,
      2853.5977720203746,
      1877.980243069043,
      1011.2768355015278,
      248.92822329298053,
      -424.7307433444415,
      -1018.7404917376182,
      -1543.0422074990095,
      -2005.6008810519857,
      -2413.7759549949124,
      -2773.9250481159897,
      -3091.7138302589583,
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  "D2178": {
    "n": 242,
    "mae": 3523.586877767688,
    "model": "{'coef': {'ma1': np.float64(-0.7464979085123016)}, 'sigma2': np.float64(48301.286280845234), 'var_coef': array([[0.00218286]]), 'mask': array([ True]), 'loglik': np.float64(-1633.9424824066955), 'aic': np.float64(3271.884964813391), 'arma': (0, 1, 0, 0, 1, 2, 0), 'residuals': array([ 7.24485912e-02, -2.12873019e-01,  1.04172102e+01, -5.26708920e+00,\n       -1.04292689e+00, -4.14793679e+00, -1.01310758e+00,  3.79942831e+01,\n        3.05562097e+01,  1.21996077e+01, -1.68924149e+01, -1.95830847e+01,\n        8.38763943e+00, -3.37341754e+01,  1.33210365e+01,  1.69419807e+01,\n        1.51458530e+01, -1.41937691e+01,  2.84042808e+01, -5.79645551e+00,\n       -1.58269638e+01,  2.76851927e+01,  2.11668785e+01, -3.06989681e+01,\n        5.50832800e+01,  6.11953912e+00,  9.90682125e+01, -4.25457915e+01,\n        2.39657345e-01, -3.63210957e+01, -3.16136212e+01,  5.24004978e+01,\n       -4.78831380e+01, -4.62446622e+01,  4.49784564e+01,  3.00763236e+01,\n       -5.10480873e+01,  3.89270957e+00,  5.90589956e+00, -2.70912583e+01,\n       -1.82235677e+01, -1.51038552e+01,  2.97250037e+01,  7.76896531e+01,\n        8.49951636e+01, -3.75512882e+01,  2.14680419e+01, -1.04741516e+01,\n       -6.93189323e+01, -3.32464380e+01,  1.68160360e+00,  5.22553136e+01,\n       -7.24915177e+01, -1.41147664e+01, -5.55366436e+01,  1.06042012e+02,\n       -9.33986003e+00, -1.39721860e+01,  5.65697924e+01,  1.82292317e+01,\n       -6.58919167e+01, -6.16881780e+01,  9.34499042e+01, -6.73984199e+00,\n        2.96872205e+00, -3.78385520e+00, -4.48246400e+01, -4.44615000e+01,\n        5.38095832e+01,  3.81687413e+01,  3.89928856e+01,  4.36081075e+01,\n       -7.09466389e+01, -4.04615176e+01,  1.62955618e+01, -5.38353972e+01,\n        1.28311989e+02,  4.05284631e+02,  4.25441295e+01, -1.38740896e+02,\n       -2.80697889e+01, -1.22954039e+02, -5.97849328e+01, -3.26293273e+01,\n        7.61422754e+01, -4.56599506e+01, -1.80850577e+01, -8.45004577e+01,\n       -9.00794150e+01,  1.75590514e+00,  1.45310780e+02, -4.10258070e+01,\n       -2.46256791e+01,  6.01169820e+01, -1.68622799e+02, -6.83765665e+01,\n       -1.09042964e+02,  3.05599656e+02,  2.76295037e+01, -6.23746333e+01,\n        5.29374667e+01, -6.89822918e+01, -1.34951366e+01, -1.50740912e+01,\n       -5.32527776e+01,  8.12469129e+01, -7.84934943e+00,  1.09640477e+02,\n        6.78463868e+01,  4.76471859e+01,  1.12568525e+02, -2.34678318e+01,\n       -9.65186874e+01, -4.25509983e+01, -5.67642312e+01, -2.87437987e+00,\n       -8.41457186e+01, -7.43146029e+01, -1.38475696e+02,  7.96281828e+01,\n        1.17942272e+02,  4.00436593e+01,  3.39250793e+00,  1.26032500e+02,\n        2.95829977e+01, -6.49163541e+01,  1.98040077e+02,  1.88336504e+02,\n        2.28092806e+02, -1.90729197e+02,  9.21210531e+01,  5.76817346e+00,\n       -4.67694071e+02, -5.61326455e+01, -8.59029025e+01,  5.08736630e+01,\n       -7.85229170e+01, -1.34117193e+02,  2.33817957e+01, -1.05455384e+01,\n       -1.37222237e+00,  2.89756389e+01, -1.73697462e+01,  6.25335208e+01,\n        6.81142491e-01,  1.74008471e+02,  4.18969600e+01, -4.67240070e+01,\n        4.21206265e+01, -1.05557040e+02, -2.10298110e+02,  1.86012901e+02,\n       -2.36417586e+01,  1.84851477e+02,  2.83991241e+02,  4.19988672e+01,\n       -1.81479335e+01, -1.86547394e+02, -1.95257240e+02, -7.75912108e+00,\n        8.67078323e+01, -9.47727845e+01, -7.92476854e+01, -6.15823142e+00,\n        4.40289313e+00, -4.22132495e+01, -2.46512102e+02,  5.29792311e+01,\n        2.47048885e+02,  3.60421476e+02,  2.88553878e+02, -3.35951335e+01,\n       -1.25078697e+02, -3.97370986e+02,  5.98633903e+01, -2.05312104e+02,\n       -1.72765056e+02,  1.25312467e+01,  7.38545494e+01, -5.18677333e+01,\n       -1.87191544e+01,  1.61526190e+02,  3.27078963e+02,  9.91637620e+01,\n        1.20025541e+02, -1.15901185e+02,  1.24980008e+02, -2.10702685e+02,\n        1.91210886e+02,  3.87385265e+01,  1.74418229e+02,  2.85702843e+02,\n        2.42776575e+02,  2.47732205e+02,  2.28431573e+02,  1.24523692e+02,\n       -5.65433246e+01,  3.12790526e+02, -4.99002526e+02,  1.57495658e+02,\n       -2.64429821e+02, -5.14396308e+02, -1.95495768e+02, -1.66437182e+02,\n       -1.10745008e+02, -2.17670917e+02, -6.84908844e+01, -1.30628302e+02,\n        2.19486246e+02,  5.98460235e+01, -3.95325069e+02,  2.83906631e+01,\n       -1.47806429e+02,  3.95162810e+02, -7.61511789e+02,  2.36533042e+02,\n       -6.18928579e+02,  3.13971110e+02,  4.77378777e+02, -8.40137741e+02,\n       -1.81161067e+02, -1.35736357e+02,  3.51673093e+02, -4.15976772e+02,\n       -4.17525790e+02, -5.94682129e+02, -6.23928965e+02, -3.12616678e+01,\n        9.04163230e+02, -3.65440396e+01, -7.72800491e+01,  6.38106050e+01,\n       -4.61865517e+02,  2.12718358e+02, -1.37706191e+02, -2.93297383e+02,\n        7.81554117e+02, -5.48071487e+02,  4.86865782e+02,  2.94444288e+02,\n       -9.68697955e+02, -9.98130997e+02]), 'code': 0, 'n_cond': 0, 'nobs': np.int64(240), 'model': {'phi': array([], dtype=float64), 'theta': array([-0.74649791]), 'delta': array([ 2., -1.]), 'Z': array([ 1.,  0.,  2., -1.]), 'a': array([-275.        ,  745.10270201, 6678.5       , 8044.5       ]), 'P': array([[-6.66133815e-16,  2.22044605e-16,  2.86316862e-16,\n        -4.10845389e-17],\n       [ 2.22044605e-16, -1.11022302e-16, -1.42859274e-16,\n         3.91673893e-17],\n       [ 2.86316862e-16, -1.42859274e-16, -1.43158431e-16,\n         6.00645248e-33],\n       [-4.10845389e-17,  3.91673893e-17,  6.00645248e-33,\n        -4.10845389e-17]]), 'T': array([[ 0.,  1.,  0.,  0.],\n       [ 0.,  0.,  0.,  0.],\n       [ 1.,  0.,  2., -1.],\n       [ 0.,  0.,  1.,  0.]]), 'V': array([[ 1.        , -0.74649791,  0.        ,  0.        ],\n       [-0.74649791,  0.55725913, -0.        , -0.        ],\n       [ 0.        , -0.        ,  0.        ,  0.        ],\n       [ 0.        , -0.        ,  0.        ,  0.        ]]), 'h': 0.0, 'Pn': array([[ 1.00000000e+00, -7.46497909e-01,  9.49442238e-17,\n         1.13836447e-17],\n       [-7.46497909e-01,  5.57259127e-01,  0.00000000e+00,\n         0.00000000e+00],\n       [ 9.49442238e-17,  0.00000000e+00, -1.43158431e-16,\n        -4.03452224e-33],\n       [ 1.13836447e-17,  0.00000000e+00, -4.03452224e-33,\n        -4.10845389e-17]])}, 'bic': np.float64(3278.846242660075), 'aicc': np.float64(3271.9355977247833), 'ic': None, 'xreg': None, 'x': array([  162. ,   164. ,   179. ,   182. ,   187.5,   189.5,   193.5,\n         236.5,   282. ,   317. ,   326. ,   328. ,   353. ,   338. ,\n         361.5,   392. ,   425. ,   432.5,   479. ,   498.5,   506.5,\n         554. ,   602. ,   603.5,   683. ,   727.5,   866.5,   889. ,\n         943.5,   961.5,   975. ,  1064.5,  1067. ,  1059. ,  1130.5,\n        1198.5,  1193. ,  1229.5,  1269. ,  1277. ,  1287. ,  1295.5,\n        1345. ,  1450. ,  1582. ,  1613. ,  1693.5,  1747.5,  1740. ,\n        1751. ,  1788.5,  1877. ,  1854. ,  1871. ,  1843. ,  1962.5,\n        1993.5,  2017.5,  2108.5,  2175.5,  2163. ,  2138. ,  2252.5,\n        2290.5,  2336.5,  2376.5,  2374.5,  2361.5,  2435.5,  2507.5,\n        2590. ,  2687. ,  2680.5,  2686.5,  2739. ,  2725.5,  2880.5,\n        3345. ,  3549.5,  3583.5,  3693. ,  3700.5,  3740. ,  3791.5,\n        3943.5,  3993. ,  4058.5,  4053. ,  4020.5,  4057. ,  4237.5,\n        4268.5,  4305.5,  4421. ,  4323. ,  4282.5,  4184. ,  4472.5,\n        4560.5,  4565.5,  4670. ,  4666. ,  4700. ,  4729. ,  4716. ,\n        4824. ,  4863.5,  5018.5,  5159.5,  5297.5,  5512.5,  5620. ,\n        5648.5,  5706.5,  5739.5,  5812. ,  5802.5,  5781.5,  5677.5,\n        5756.5,  5894. ,  5983.5,  6046.5,  6233. ,  6355. ,  6390. ,\n        6671.5,  6993.5,  7403. ,  7451.5,  7734.5,  7954.5,  7702.5,\n        7743.5,  7740.5,  7852.5,  7848. ,  7768. ,  7811.5,  7827. ,\n        7849. ,  7901. ,  7914. ,  8002.5,  8045. ,  8261. ,  8389. ,\n        8439. ,  8566. ,  8556. ,  8414.5,  8616. ,  8655. ,  8896.5,\n        9284. ,  9501.5,  9669.5,  9664.5,  9603.5,  9680.5,  9850. ,\n        9860. ,  9861.5,  9916. ,  9979.5,  9997.5,  9800.5,  9840.5,\n       10088. , 10511.5, 10954.5, 11148.5, 11242.5, 11032.5, 11179. ,\n       11075.5, 10952.5, 10971. , 11054. , 11030. , 11026. , 11197.5,\n       11575.5, 11808.5, 12087.5, 12161. , 12446. , 12427. , 12756.5,\n       12982. , 13353. , 13879.5, 14435.5, 15058. , 15724. , 16344. ,\n       16814.5, 17640. , 17733. , 18356. , 18597. , 18521. , 18633.5,\n       18725.5, 18831. , 18801.5, 18866. , 18851. , 19153. , 19351. ,\n       19109. , 19190.5, 19103. , 19521. , 18882.5, 19049. , 18420. ,\n       18567. , 18957. , 18150.5, 17790. , 17429. , 17521. , 16934.5,\n       16241. , 15264.5, 14108. , 13386. , 13591.5, 13085.5, 12529.5,\n       12095. , 11151. , 10764.5, 10081.5,  9208. ,  9335. ,  8330.5,\n        8222. ,  8044.5,  6678.5,  5037.5]), 'lambda': None}",
    "forecasts": [
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      3245.7054040238545,
      2349.8081060357817,
      1453.910808047709,
      558.0135100596362,
      -337.8837879284365,
      -1233.7810859165093,
      -2129.678383904582,
      -3025.5756818926548,
      -3921.4729798807275,
      -4817.3702778688,
      -5713.267575856873,
      -6609.164873844946,
      -7505.0621718330185
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    "n": 4196,
    "mae": 197.99204072347175,
    "model": "{'coef': {'ar1': np.float64(1.4142429947200181), 'ar2': np.float64(-0.8844290319024987), 'ma1': np.float64(-1.3917972079815466), 'ma2': np.float64(0.881761065519493), 'sar1': np.float64(-0.1115036048363075), 'sma1': np.float64(0.11950928883678319), 'sma2': np.float64(0.03850953537373507)}, 'sigma2': np.float64(26016.110045046524), 'var_coef': array([[ 1.67619984e-04, -8.50036580e-06,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00],\n       [-8.50036580e-06,  1.13264384e-05,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00],\n       [ 0.00000000e+00,  0.00000000e+00,  2.38379023e-04,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00],\n       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         2.38379023e-04,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00],\n       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  2.32540013e-04,  0.00000000e+00,\n         0.00000000e+00],\n       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  2.38379023e-04,\n         0.00000000e+00],\n       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         2.38379023e-04]]), 'mask': array([ True,  True,  True,  True,  True,  True,  True]), 'loglik': np.float64(-27273.138294258217), 'aic': np.float64(54562.27658851643), 'arma': (2, 2, 1, 2, 7, 1, 0), 'residuals': array([   2.55629872, -242.12278956, -187.3914315 , ..., -223.47282917,\n        165.3005486 ,   45.63140215], shape=(4196,)), 'code': 2, 'n_cond': 0, 'nobs': np.int64(4195), 'model': {'phi': array([ 1.41424299, -0.88442903,  0.        ,  0.        ,  0.        ,\n        0.        , -0.1115036 ,  0.15769319, -0.09861703]), 'theta': array([-1.39179721,  0.88176107,  0.        ,  0.        ,  0.        ,\n   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-1.46665694e-01,\n        -0.00000000e+00, -0.00000000e+00, -0.00000000e+00,\n        -0.00000000e+00, -1.98783020e-02,  2.76665653e-02,\n        -1.75279128e-02, -0.00000000e+00, -0.00000000e+00,\n        -0.00000000e+00, -0.00000000e+00, -6.40539478e-03,\n         8.91501058e-03, -5.64802773e-03, -0.00000000e+00],\n       [ 1.05378638e-01, -1.46665694e-01,  9.29187800e-02,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  1.25937261e-02, -1.75279128e-02,\n         1.11046573e-02,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  4.05808238e-03,\n        -5.64802773e-03,  3.57825905e-03,  0.00000000e+00],\n       [ 0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00, -0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n        -0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n       [ 0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00, -0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n        -0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n       [ 0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00, -0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n        -0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n       [ 0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00, -0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n        -0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n       [ 3.85095354e-02, -5.35974638e-02,  3.39562089e-02,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  4.60224719e-03, -6.40539478e-03,\n         4.05808238e-03,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  1.48298431e-03,\n        -2.06401343e-03,  1.30763783e-03,  0.00000000e+00],\n       [-5.35974638e-02,  7.45968005e-02, -4.72601568e-02,\n        -0.00000000e+00, -0.00000000e+00, -0.00000000e+00,\n        -0.00000000e+00, -6.40539478e-03,  8.91501058e-03,\n        -5.64802773e-03, -0.00000000e+00, -0.00000000e+00,\n        -0.00000000e+00, -0.00000000e+00, -2.06401343e-03,\n         2.87268813e-03, -1.81996668e-03, -0.00000000e+00],\n       [ 3.39562089e-02, -4.72601568e-02,  2.99412630e-02,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  4.05808238e-03, -5.64802773e-03,\n         3.57825905e-03,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  1.30763783e-03,\n        -1.81996668e-03,  1.15302413e-03,  0.00000000e+00],\n       [ 0.00000000e+00, -0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00, -0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n         0.00000000e+00,  0.00000000e+00,  0.00000000e+00,\n        -0.00000000e+00,  0.00000000e+00,  0.00000000e+00]]), 'h': 0.0, 'Pn': array([[ 1.00000000e+00, -1.39179721e+00,  8.81761066e-01,\n         3.05007890e-17,  1.93528358e-17,  1.08389933e-17,\n        -2.77555756e-17,  1.19509289e-01, -1.66332695e-01,\n         1.05378638e-01,  1.31459094e-17, -3.15397345e-18,\n         1.44972437e-17,  2.87438819e-18,  3.85095354e-02,\n        -5.35974638e-02,  3.39562089e-02, -4.60284779e-19],\n       [-1.39179721e+00,  1.93709947e+00, -1.22723259e+00,\n         4.61276603e-19, -1.22635933e-17, -2.44620579e-17,\n         0.00000000e+00, -1.66332695e-01,  2.31501380e-01,\n        -1.46665694e-01, -1.30675094e-17,  4.21321554e-18,\n        -9.70036871e-18, -6.13695922e-18, -5.35974638e-02,\n         7.45968005e-02, -4.72601568e-02, -2.45789179e-19],\n       [ 8.81761066e-01, -1.22723259e+00,  7.77502577e-01,\n         3.32973354e-18, -1.75266235e-18, -4.65835388e-21,\n        -7.50082381e-21,  1.05378638e-01, -1.46665694e-01,\n         9.29187800e-02,  1.99723167e-18, -8.62908935e-20,\n         5.42528267e-20, -1.79391043e-22,  3.39562089e-02,\n        -4.72601568e-02,  2.99412630e-02,  7.75960797e-34],\n       [ 3.05007890e-17,  4.61276603e-19,  3.32973354e-18,\n        -3.46944695e-18,  3.15196682e-18,  2.46535645e-19,\n         4.65835388e-21,  3.65262843e-18, -8.75666963e-19,\n        -1.11196483e-19, -1.82837353e-18,  2.07669304e-18,\n         2.17732888e-19, -5.42528267e-20,  1.17475061e-18,\n     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0.00000000e+00,  2.27178628e-95],\n       [ 3.53140000e-73, -2.26916984e-95,  7.40906110e-26,\n        -4.76632592e-48, -7.40906110e-26, -2.26916984e-95,\n        -3.53140000e-73,  0.00000000e+00],\n       [-1.19844531e-74, -3.53140000e-73, -2.26916984e-95,\n        -7.40906110e-26, -4.76632592e-48,  7.40906110e-26,\n         0.00000000e+00,  1.04058031e-71],\n       [-1.61754006e-49,  0.00000000e+00,  3.53140000e-73,\n        -2.26916984e-95,  7.40906110e-26, -4.76632592e-48,\n        -7.40906110e-26,  0.00000000e+00],\n       [ 0.00000000e+00,  7.70972309e-97,  0.00000000e+00,\n        -3.53140000e-73,  0.00000000e+00, -7.40906110e-26,\n         0.00000000e+00,  2.18319168e-24],\n       [ 4.76632592e-48,  0.00000000e+00,  2.27178628e-95,\n         0.00000000e+00,  1.04058031e-71,  0.00000000e+00,\n         2.18319168e-24, -6.43310381e-23]])}, 'bic': np.float64(55085.20140541744), 'aicc': np.float64(55072.52097077506), 'ic': None, 'xreg': None, 'x': array([1392.2, 1269.1, 1162.6, ..., 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    "forecasts": [
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}