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},
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33.0801748 , 30.59508721,\n 31.59601413, 35.56081922, 39.67339475, 40.71891401, 38.04481081,\n 33.77920439, 31.29515887, 32.29528757, 36.2611164 , 40.37283985,\n 41.41730529, 38.74397781, 34.4772828 , 31.99360482, 32.99465291,\n 36.95953888, 41.07177572, 42.11729955, 39.44317548, 35.17750371,\n 32.69297298, 33.69297327, 37.65863361, 41.76976929, 42.81567704,\n 40.14247404, 35.87585897, 33.39184101, 34.39290578, 38.35776824,\n 42.46991463, 43.51498606, 40.840737 , 36.57489591, 34.08977623,\n 35.09123104, 39.05701333, 43.16820395, 44.21380462, 41.54062182,\n 37.27398249, 34.789873 , 35.79049766, 39.75523268, 43.86718484,\n 44.9117003 , 42.23890936, 37.97318954, 35.48812378, 36.48928389,\n 40.45508399, 44.56622551, 45.6117677 , 42.93814845, 38.67138107,\n 36.18707638, 37.1871575 , 41.15334831, 45.26539695, 46.30999942,\n 43.63691748, 39.3712149 , 36.88609913, 37.8872132 , 41.85257456,\n 45.96356327, 47.00894338, 44.33478431, 40.06947217, 37.58526308,\n 38.58544368, 42.55134121, 46.66338236, 47.70796794, 45.03484369,\n 40.76870184, 38.28343237, 39.28439684, 43.2492161 , 47.36163532,\n 48.40714413, 45.73308827, 41.4674823 , 38.98326482, 39.98344098]), 'states': array([[29.91462885, 0.09989416, -3.91387828, ..., 4.90883247,\n 3.96340342, -0.04835242],\n [30.01430138, 0.09982644, -0.04841289, ..., 2.13552545,\n 4.90883247, 3.96340342],\n [30.11468824, 0.09999769, 3.96355632, ..., -2.23059774,\n 2.13552545, 4.90883247],\n ...,\n [43.698125 , 0.09995351, -2.23061126, ..., -0.048362 ,\n -3.91394815, -4.81481369],\n [43.79758609, 0.09980304, -4.81494804, ..., 3.96343093,\n -0.048362 , -3.91394815],\n [43.89774434, 0.09991158, -3.91385123, ..., 4.9088072 ,\n 3.96343093, -0.048362 ]], shape=(141, 9)), 'par': array([ 3.91462538e-04, 1.19622421e-04, 1.06802939e-04, nan,\n 2.99146288e+01, 9.98941628e-02, -3.91387828e+00, -4.81493290e+00,\n -2.23059774e+00, 2.13552545e+00, 4.90883247e+00, 3.96340342e+00,\n -4.83524189e-02]), 'sigma2': np.float64(0.9903729656231588), 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},
"AutoARIMA": {
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47.69230413211703,
49.374409994699526,
47.05256541536476,
41.613728024189165,
39.6251308728813,
40.973989307436746,
45.7479592727598,
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0.82249801,\n 1.06441412, -0.16941757, 0.13731758, 0.42627431, -0.76868458,\n -0.42970336, 0.66580906, -0.54212974, -0.21709262, -1.38200103,\n 0.78776202, 1.04971658, -0.17530909, 0.13137324, 0.42451835,\n -0.77235214, -0.44016945, 0.65688019, -0.54996252, -0.22791809,\n -1.3985867 , 0.76952992, 1.03825249, -0.18359691, 0.12327194,\n 0.41813165, -0.77924508, -0.44941853, 0.6483703 , -0.55790785,\n -0.23688148, -1.40970008, 0.75787099, 1.02941693, -0.19102747,\n 0.11604253, 0.411731 , -0.7857369 , -0.45677945, 0.64142763,\n -0.5645088 , -0.24381271, -1.41745318, 0.74997516, 1.02282203,\n -0.19692855, 0.1103156 , 0.40644854, -0.79097705, -0.46231979,\n 0.63614658, -0.56956636, -0.24894397, -1.42287807, 0.74455334,\n 1.0180392 , -0.20134184, 0.1060402 , 0.40242924, -0.79492075,\n -0.46634224, 0.63229265, -0.57326945, -0.25263049, -1.42664814,\n 0.74083067, 1.01464702, -0.20452541, 0.10296011, 0.3995043 ,\n -0.79777286, -0.46919215, 0.62955469, -0.5759046 , -0.25522439,\n -1.42924701, 0.73828462, 1.01228012, -0.20676904, 0.10079145,\n 0.3974329 , -0.79978502, -0.47117782, 0.62764411, -0.57774509,\n -0.25702335, -1.4310261 , 0.7365507 , 1.01064762, -0.20832602,\n 0.09928748, 0.39599134, -0.80118198, -0.47254558, 0.62632687,\n -0.57901463, -0.25825867, -1.43223751, 0.73537408, 1.00953072,\n -0.20939541, 0.09825498, 0.39499952, -0.80214161, -0.47348041]), 'code': 2, 'n_cond': 0, 'nobs': np.int64(133), 'model': {'phi': array([ 0. , 0. , 0. , 0. , 0. ,\n 0. , -1.23693933, 0. , 0. , 0. ,\n 0. , 0. , 0. , -0.6864473 ]), 'theta': array([-0.96456483, 0. , 0. , 0. , 0. ,\n 0. , 0. , 0. , 0. , 0. ,\n 0. , 0. , 0. ]), 'delta': array([-0., -0., -0., -0., -0., -0., 1.]), 'Z': array([ 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n 0., -0., -0., -0., -0., -0., -0., 1.]), 'a': array([ 1.4989907 , -2.42643877, -0.61786258, 1.19876113, -0.61786258,\n -0.61786258, 1.19876113, 1.23629797, -1.02897811, -1.02897811,\n 1.23629797, -1.02897811, -1.02897811, 1.23629797, 23.80531857,\n 27.71068362, 33.2496652 , 33.85503025, 34.08969228, 31.38067906,\n 25.37166583]), 'P': array([[ 0.00000000e+00, 0.00000000e+00, -3.08148791e-33,\n -1.23259516e-32, 0.00000000e+00, 0.00000000e+00,\n 0.00000000e+00, 3.13552284e-17, -3.43732845e-33,\n -1.85086916e-33, -7.93229642e-34, 0.00000000e+00,\n 2.90850869e-33, 2.64409881e-34, 0.00000000e+00,\n 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n 0.00000000e+00, 0.00000000e+00, -4.56775467e-17],\n [ 0.00000000e+00, 1.08543861e-05, 2.08282260e-17,\n 1.06246451e-16, -1.36319167e-16, 1.14201409e-16,\n 2.40631656e-17, -3.96305834e-18, -1.32879809e-16,\n -3.17067353e-32, 9.19774102e-33, -1.36780860e-16,\n 1.78304926e-32, 3.97552059e-33, 5.66336913e-18,\n -9.86526333e-17, 7.86632538e-17, -9.22443141e-17,\n 2.30149712e-17, 1.92251807e-16, -2.12440734e-17],\n [-3.08148791e-33, 2.08282260e-17, 7.32194075e-17,\n -4.57803301e-32, -1.78772926e-33, -2.77688539e-32,\n -8.01493556e-33, 5.32166439e-33, -2.09317748e-32,\n 2.06659323e-17, 2.11527904e-32, 2.89285737e-32,\n 1.48069533e-32, -4.23055809e-33, 1.77704557e-34,\n 5.79289996e-33, -9.92716582e-33, 1.33421491e-32,\n -7.63425554e-17, -1.07165161e-32, 4.03079321e-33],\n [-1.23259516e-32, 1.06246451e-16, -4.57803301e-32,\n 2.37088597e-16, 3.62564473e-32, -9.80862332e-32,\n -5.70159037e-33, 6.90891638e-33, -1.93690349e-32,\n -1.29126899e-32, 1.60229813e-16, 1.18144031e-31,\n 1.69222324e-32, 2.91246482e-50, -7.24628402e-33,\n 3.95988995e-32, -2.84244768e-32, -2.24852413e-16,\n -1.80634841e-32, -5.38597381e-32, 1.04317801e-32],\n [ 0.00000000e+00, -1.36319167e-16, -1.78772926e-33,\n 3.62564473e-32, -1.02643847e-16, 4.20701627e-32,\n 7.31540718e-33, 5.87567468e-33, -2.44680256e-33,\n -6.45634497e-33, 2.44680256e-33, -2.83068526e-17,\n 1.68274036e-48, -3.73682861e-50, 8.90977640e-33,\n -5.69561152e-32, 4.98032925e-17, -5.30667113e-32,\n 1.79988032e-32, 2.59502329e-32, -5.39005702e-33],\n [ 0.00000000e+00, 1.14201409e-16, -2.77688539e-32,\n -9.80862332e-32, 4.20701627e-32, 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4.36530508e-48,\n -2.17757043e-47, 1.34824133e-47, -2.82759881e-47,\n 6.83880835e-48, 7.08337131e-17, 3.43732845e-33],\n [-1.27926614e-32, -2.11527904e-32, 1.99676404e-17,\n -1.29126899e-32, -6.45634497e-33, -6.45634497e-33,\n -2.61647185e-33, 2.90405516e-33, -1.16162206e-32,\n -9.75803036e-64, 1.16162206e-32, 5.80811032e-33,\n 5.80811032e-33, -1.45202758e-33, 0.00000000e+00,\n -3.23985551e-48, 2.99999636e-48, -1.74665059e-48,\n -2.90883809e-17, 1.87322793e-48, 1.85086916e-33],\n [-1.75736427e-32, 2.53833485e-32, 2.11527904e-32,\n 1.59880668e-16, 2.44680256e-33, 2.98349223e-32,\n 2.61647185e-33, -5.80811032e-33, 1.74243310e-32,\n 1.16162206e-32, 1.04629614e-16, -1.74243310e-32,\n -1.16162206e-32, 1.45202758e-33, 6.84227766e-49,\n -8.85491455e-49, 1.36887282e-48, -1.10676546e-16,\n -2.11527904e-33, 8.46111618e-33, 7.93229642e-34],\n [-1.41807426e-16, -1.94159731e-33, 2.58664704e-32,\n 1.02523997e-31, -2.86559986e-17, 6.10686069e-32,\n 3.42953978e-32, -5.80811032e-33, 1.74243310e-32,\n 5.80811032e-33, -1.74243310e-32, -4.48463968e-32,\n -3.38444647e-32, 1.69222324e-32, -1.03748587e-32,\n -2.53470537e-32, 4.17453732e-17, -5.56275296e-32,\n 2.02376023e-32, 4.70575608e-32, -2.51930496e-34],\n [ 8.23617363e-33, 1.26916743e-32, 1.48069533e-32,\n 1.69222324e-32, 9.29796834e-49, 1.59880668e-16,\n 7.84941554e-33, 3.75749040e-48, 1.16162206e-32,\n 5.80811032e-33, -1.16162206e-32, -3.38444647e-32,\n 1.04629614e-16, 4.35608274e-33, 0.00000000e+00,\n -1.10676546e-16, -5.36541163e-49, -8.46111618e-33,\n 4.23055809e-33, 1.69222324e-32, -2.90850869e-33],\n [ 0.00000000e+00, 4.23055809e-33, -4.23055809e-33,\n 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n 1.99676404e-17, 0.00000000e+00, 0.00000000e+00,\n -1.45202758e-33, 1.45202758e-33, 1.69222324e-32,\n 4.35608274e-33, 0.00000000e+00, -2.90883809e-17,\n 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,\n 0.00000000e+00, -8.46111618e-33, -2.64409881e-34],\n [ 5.87149251e-18, -5.54914154e-34, 3.04489993e-34,\n -6.59954134e-33, 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