import numpy as np

llf = np.array([-239.91961140777])

nobs = np.array([             202])

k = np.array([               5])

k_exog = np.array([               1])

sigma = np.array([ .79249918716869])

chi2 = np.array([ 907.36856676748])

df_model = np.array([               3])

k_ar = np.array([               2])

k_ma = np.array([               1])

params = np.array([ .86132870569126, 
                    1.1429974468925, 
                   -.16912378249242, 
                   -.87400688606796, 
                    .79249918716869])

cov_params = np.array([ .22693223682292, 
                       -.00989623843683, 
                       -.00092349277863, 
                        .00706357033712, 
                       -.00195332705416, 
                       -.00989623843683, 
                        .00771565502349, 
                       -.00405286187622, 
                       -.00748374882497, 
                       -.00006513770699, 
                       -.00092349277863, 
                       -.00405286187622, 
                        .00252946620109, 
                        .00372566422545, 
                        .00024079697522, 
                        .00706357033712, 
                       -.00748374882497, 
                        .00372566422545, 
                        .00812286034649, 
                        8.202907726e-06, 
                       -.00195332705416, 
                       -.00006513770699, 
                        .00024079697522, 
                        8.202907726e-06, 
                        .00031052148013]).reshape(5,5)

xb = np.array([ .86132872104645, 
                .86132872104645, 
                .58931648731232, 
                .53695642948151, 
                .43875110149384, 
                .43893754482269, 
                .36897498369217, 
                .39383068680763, 
                .35268598794937, 
                .30327013134956, 
                 .3206245303154, 
                .29862868785858, 
                 .2883597612381, 
                .30968201160431, 
                .26627779006958, 
                .29635512828827, 
                .27021989226341, 
                .25900682806969, 
                .29855474829674, 
                .26389503479004, 
                 .2940701842308, 
                .24996083974838, 
                .25805163383484, 
                .26306444406509, 
                .27853038907051, 
                .26575443148613, 
                   .29165366292, 
                  .262396723032, 
                .30186694860458, 
                .35503962635994, 
                .31088310480118, 
                .37306407094002, 
                .29435822367668, 
                .32511350512505, 
                .35352823138237, 
                .36144828796387, 
                .39527052640915, 
                .38102087378502, 
                .43927636742592, 
                .42946752905846, 
                .43780836462975, 
                .49889534711838, 
                .49156260490417, 
                .50206583738327, 
                .53814554214478, 
                .55276554822922, 
                .51174682378769, 
                .53661912679672, 
                .54144555330276, 
                 .4649658203125, 
                .52955776453018, 
                .48147654533386, 
                .47327646613121, 
                .46611019968987, 
                .45984682440758, 
                .48127228021622, 
                .50998419523239, 
                .65266174077988, 
                 .5583056807518, 
                .80249065160751, 
                .80990171432495, 
                .87710189819336, 
                .89202457666397, 
                1.0564744472504, 
                1.0080462694168, 
                .87197554111481, 
                .93521976470947, 
                 .9128600358963, 
                .91022855043411, 
                 .7465353012085, 
                  .866335272789, 
                .86956661939621, 
                .84549117088318, 
                .97585707902908, 
                .87074065208435, 
                .86343002319336, 
                .93773847818375, 
                .97884559631348, 
                1.1054569482803, 
                1.1484670639038, 
                1.1322609186172, 
                1.3402134180069, 
                1.4842771291733, 
                1.5056529045105, 
                 1.719556927681, 
                1.8319338560104, 
                1.5904501676559, 
                1.6899375915527, 
                1.8168371915817, 
                1.6987046003342, 
                1.8314251899719, 
                1.7283667325974, 
                1.4807628393173, 
                 1.308970451355, 
                1.7375549077988, 
                1.2797228097916, 
                .98571860790253, 
                1.1599444150925, 
                1.1530816555023, 
                  1.13017141819, 
                1.1908437013626, 
                1.1662386655807, 
                1.0540459156036, 
                1.0774390697479, 
                .95646268129349, 
                1.1066728830338, 
                .95817422866821, 
                .95676136016846, 
                1.1000070571899, 
                .42435362935066, 
                .81153392791748, 
                .78478264808655, 
                .91281259059906, 
                 .9670450091362, 
                .94373846054077, 
                .98408794403076, 
                 .9486455321312, 
                1.0052901506424, 
                1.0478744506836, 
                 1.095078587532, 
                1.0925225019455, 
                1.2685979604721, 
                1.1865184307098, 
                1.0648469924927, 
                1.3658550977707, 
                1.2376955747604, 
                1.2978720664978, 
                1.6663243770599, 
                 1.338112950325, 
                1.0797605514526, 
                1.1944576501846, 
                1.1494234800339, 
                 1.153874874115, 
                1.1408479213715, 
                1.1294689178467, 
                1.1464176177979, 
                1.1174235343933, 
                1.0820926427841, 
                .98742854595184, 
                1.0630278587341, 
                .95385235548019, 
                   .97988063097, 
                 1.049503326416, 
                1.0058189630508, 
                1.0283635854721, 
                1.0849515199661, 
                .96609032154083, 
                .97366327047348, 
                1.0440692901611, 
                1.1086683273315, 
                .99680209159851, 
                1.0642927885056, 
                1.0725424289703, 
                 .8914600610733, 
                .85157895088196, 
                .97811859846115, 
                 .8258438706398, 
                .71353197097778, 
                .88130152225494, 
                .81193578243256, 
                .82894796133041, 
                 .9344978928566, 
                .85150623321533, 
                1.0080153942108, 
                 .9895287156105, 
                1.1147927045822, 
                1.2104271650314, 
                1.0987895727158, 
                  1.23719227314, 
                1.0314946174622, 
                1.0577303171158, 
                 .8316445350647, 
                .74243623018265, 
                1.0848734378815, 
                .88838368654251, 
                1.0033586025238, 
                1.0730868577957, 
                .88500571250916, 
                .82902699708939, 
                .98530465364456, 
                 1.057307600975, 
                1.0057097673416, 
                1.1727533340454, 
                1.2172684669495, 
                1.0678850412369, 
                1.3246995210648, 
                1.0841422080994, 
                2.0282983779907, 
                1.0879902839661, 
                 1.289278626442, 
                1.4674614667892, 
                .75163400173187, 
                1.2650294303894, 
                1.4760826826096, 
                1.2972749471664, 
                1.3993507623672, 
                1.8463147878647, 
                1.4716247320175, 
                2.2955448627472, 
                 .7857254743576, 
               -.26799991726875, 
                .71938097476959, 
                1.0508332252502])

y = np.array([np.nan, 
               29.841327667236, 
               29.739316940308, 
               29.886957168579, 
               29.808752059937, 
               29.978939056396, 
               29.918973922729, 
               30.143831253052, 
               30.192686080933, 
               30.113269805908, 
                30.24062538147, 
                30.27862739563, 
                30.32836151123, 
               30.519681930542, 
               30.486276626587, 
                30.67635345459, 
               30.710220336914, 
                30.73900604248, 
               30.988555908203, 
                31.01389503479, 
               31.234069824219, 
               31.199960708618, 
               31.278051376343, 
               31.383066177368, 
               31.558530807495, 
               31.645753860474, 
               31.871654510498, 
               31.912395477295, 
               32.181865692139, 
               32.635040283203, 
               32.760883331299, 
               33.223064422607, 
               33.194358825684, 
               33.425113677979, 
               33.753528594971, 
               34.061447143555, 
               34.495269775391, 
               34.781021118164, 
               35.339279174805, 
               35.729465484619, 
               36.137809753418, 
               36.798892974854, 
               37.291561126709, 
               37.802066802979, 
               38.438148498535, 
               39.052764892578, 
                39.41174697876, 
               39.936618804932, 
                40.44144821167, 
               40.564964294434, 
               41.129554748535, 
               41.381477355957, 
               41.673278808594, 
               41.966110229492, 
               42.259845733643, 
               42.681274414063, 
               43.209983825684, 
               44.352661132813, 
               44.758304595947, 
               46.402488708496, 
               47.609901428223, 
               48.977100372314, 
               50.192024230957, 
                52.05647277832, 
               53.308044433594, 
               53.871974945068, 
               54.935218811035, 
                55.81286239624, 
               56.710227966309, 
               56.846534729004, 
                57.86633682251, 
               58.769569396973, 
               59.545490264893, 
               60.975856781006, 
               61.670738220215, 
               62.463428497314, 
               63.637741088867, 
               64.878845214844, 
               66.605453491211, 
               68.248466491699, 
               69.632263183594, 
               71.940208435059, 
               74.484275817871, 
                76.70565032959, 
                79.71955871582, 
                82.73193359375, 
               84.190444946289, 
               86.389930725098, 
               89.016830444336, 
               90.798706054688, 
               93.331428527832, 
               95.128364562988, 
               95.880767822266, 
               96.308967590332, 
                99.23755645752, 
               99.379722595215, 
               98.885719299316, 
               99.959945678711, 
               100.95308685303, 
               101.93017578125, 
               103.29084014893, 
                104.4662399292, 
               105.15404510498, 
               106.17743682861, 
               106.65645599365, 
               108.10667419434, 
               108.65817260742, 
               109.45676422119, 
               111.00000762939, 
               109.12435150146, 
               110.31153106689, 
               110.98477935791, 
               112.31281280518, 
               113.66704559326, 
               114.74374389648, 
               115.98408508301, 
               116.94864654541, 
               118.20528411865, 
               119.54787445068, 
               120.99507904053, 
               122.29251861572, 
               124.36859893799, 
               125.68651580811, 
               126.46485137939, 
               128.86585998535, 
                130.1376953125, 
               131.79786682129, 
               135.06631469727, 
               136.03811645508, 
               136.17976379395, 
               137.39445495605, 
               138.34942626953, 
               139.45387268066, 
               140.54084777832, 
                141.6294708252, 
               142.84642028809, 
               143.91741943359, 
               144.88209533691, 
               145.48742675781, 
               146.66304016113, 
               147.25386047363, 
               148.17987060547, 
                149.4494934082, 
               150.40580749512, 
               151.52836608887, 
               152.88494873047, 
               153.56610107422, 
               154.47366333008, 
               155.74406433105, 
               157.20867919922, 
                157.9967956543, 
               159.26428222656, 
               160.47253417969, 
               160.79145812988, 
               161.25157165527, 
               162.47811889648, 
               162.82585144043, 
               162.91352844238, 
               164.08129882813, 
               164.71192932129, 
               165.52894592285, 
               166.83448791504, 
               167.55149841309, 
               169.10801696777, 
               170.28953552246, 
                172.0147857666, 
                173.9104309082, 
               174.99877929688, 
               176.83720397949, 
               177.43148803711, 
               178.45771789551, 
               178.43165588379, 
               178.44242858887, 
               180.38487243652, 
               180.88838195801, 
               182.20335388184, 
               183.67309570313, 
               184.08500671387, 
                184.5290222168, 
               185.88529968262, 
               187.35731506348, 
               188.40570068359, 
               190.27276611328, 
               192.01727294922, 
                192.8678894043, 
               195.12471008301, 
               195.78413391113, 
               201.22830200195, 
               200.48799133301, 
               201.98927307129, 
               204.16746520996, 
               202.65162658691, 
               204.83903503418, 
               207.39608764648, 
               208.63526916504, 
               210.53234863281, 
               214.34130859375, 
                215.4686126709, 
                220.9055480957, 
               217.67472839355, 
               211.90599060059, 
               213.39038085938, 
               215.51982116699])

resid = np.array([np.nan, 
                   -.6913286447525, 
                  -.38931575417519, 
                  -.51695597171783, 
                  -.26875102519989, 
                  -.42893922328949, 
                  -.16897420585155, 
                  -.30383053421974, 
                  -.38268667459488, 
                  -.19326950609684, 
                  -.26062506437302, 
                   -.2386272996664, 
                  -.11836158484221, 
                  -.29968178272247, 
                  -.10627794265747, 
                  -.23635374009609, 
                   -.2302208840847, 
                  -.04900583252311, 
                  -.23855529725552, 
                  -.07389451563358, 
                  -.28406995534897, 
                  -.17996114492416, 
                  -.15805125236511, 
                  -.10306460410357, 
                  -.17853192985058, 
                  -.06575367599726, 
                  -.22165396809578, 
                  -.03239719197154, 
                   .09813265502453, 
                  -.18503764271736, 
                   .08911459892988, 
                  -.32306101918221, 
                  -.09436126798391, 
                  -.02511045895517, 
                  -.05352900549769, 
                   .03854943066835, 
                  -.09526748210192, 
                   .11897913366556, 
                   -.0392786487937, 
                  -.02946598827839, 
                   .16219010949135, 
                   .00110464950558, 
                   .00843739509583, 
                   .09793642908335, 
                   .06185294687748, 
                  -.15276403725147, 
                  -.01174682471901, 
                  -.03661911562085, 
                  -.34144860506058, 
                    .0350341796875, 
                  -.22955468297005, 
                  -.18147730827332, 
                  -.17327722907066, 
                  -.16611096262932, 
                  -.05984530970454, 
                   .01872771047056, 
                   .49001583456993, 
                  -.15266172587872, 
                   .84169203042984, 
                   .39751008152962, 
                    .4900975227356, 
                   .32289886474609, 
                   .80797618627548, 
                   .24352477490902, 
                  -.30804550647736, 
                   .12802444398403, 
                  -.03521826863289, 
                  -.01286232378334, 
                  -.61022931337357, 
                   .15346619486809, 
                   .03366623818874, 
                  -.06956738233566, 
                   .45450806617737, 
                  -.17585784196854, 
                  -.07074139267206, 
                     .236572265625, 
                   .26226228475571, 
                   .62115287780762, 
                   .49454152584076, 
                    .2515344619751, 
                   .96773761510849, 
                    1.059788107872, 
                   .71571981906891, 
                   1.2943501472473, 
                   1.1804445981979, 
                  -.13193695247173, 
                   .50954836606979, 
                   .81006240844727, 
                   .08316437155008, 
                   .70129698514938, 
                    .0685763657093, 
                  -.72836673259735, 
                  -.88076442480087, 
                    1.191029548645, 
                  -1.1375564336777, 
                  -1.4797197580338, 
                  -.08571709692478, 
                  -.15994438529015, 
                  -.15308164060116, 
                   .16982398927212, 
                   .00916088558733, 
                  -.36624330282211, 
                   -.0540459305048, 
                  -.47744059562683, 
                   .34354037046432, 
                  -.40667590498924, 
                  -.15817116200924, 
                   .44324016571045, 
                  -2.3000116348267, 
                   .37564942240715, 
                  -.11153698712587, 
                   .41522192955017, 
                   .38718286156654, 
                   .13296109437943, 
                   .25625845789909, 
                   .01591204665601, 
                   .25135138630867, 
                    .2947128713131, 
                   .35212710499763, 
                   .20491683483124, 
                   .80747896432877, 
                   .13140361011028, 
                  -.28651690483093, 
                   1.0351514816284, 
                   .03413881734014, 
                   .36231052875519, 
                   1.6021218299866, 
                  -.36632135510445, 
                  -.93810379505157, 
                   .02023027092218, 
                  -.19445763528347, 
                  -.04941740259528, 
                  -.05388405546546, 
                  -.04084182903171, 
                    .0705279931426, 
                  -.04641156643629, 
                  -.11742353439331, 
                  -.38209563493729, 
                   .11257757246494, 
                  -.36303088068962, 
                  -.05385848507285, 
                   .22011630237103, 
                  -.04950327426195, 
                   .09418711811304, 
                   .27163949608803, 
                  -.28494849801064, 
                  -.06609643250704, 
                   .22633366286755, 
                   .35593989491463, 
                  -.20867441594601, 
                   .20319482684135, 
                   .13570418953896, 
                  -.57254236936569, 
                   -.3914600610733, 
                   .24842712283134, 
                  -.47811862826347, 
                  -.62584692239761, 
                   .28646802902222, 
                  -.18130460381508, 
                  -.01193272508681, 
                   .37104898691177, 
                  -.13449484109879, 
                   .54850292205811, 
                   .19198158383369, 
                   .61046212911606, 
                    .6852103471756, 
                  -.01043024007231, 
                   .60122263431549, 
                  -.43720445036888, 
                  -.03149457275867, 
                  -.85771811008453, 
                  -.73165369033813, 
                   .85756987333298, 
                  -.38487648963928, 
                   .31161326169968, 
                   .39665061235428, 
                  -.47309604287148, 
                  -.38500571250916, 
                    .3709699511528, 
                    .4147045314312, 
                   .04268322139978, 
                   .69430238008499, 
                   .52724367380142, 
                   -.2172684520483, 
                   .93211495876312, 
                  -.42470565438271, 
                   3.4158577919006, 
                  -1.8283013105392, 
                   .21201276779175, 
                    .7107213139534, 
                  -2.2674646377563, 
                   .92237722873688, 
                   1.0809636116028, 
                  -.05808337032795, 
                   .49772322177887, 
                   1.9626487493515, 
                  -.34431591629982, 
                   3.1413819789886, 
                   -4.016538143158, 
                  -5.5007371902466, 
                   .76500922441483, 
                    1.078607916832, 
                   .86516714096069])

yr = np.array([np.nan, 
                -.6913286447525, 
               -.38931575417519, 
               -.51695597171783, 
               -.26875102519989, 
               -.42893922328949, 
               -.16897420585155, 
               -.30383053421974, 
               -.38268667459488, 
               -.19326950609684, 
               -.26062506437302, 
                -.2386272996664, 
               -.11836158484221, 
               -.29968178272247, 
               -.10627794265747, 
               -.23635374009609, 
                -.2302208840847, 
               -.04900583252311, 
               -.23855529725552, 
               -.07389451563358, 
               -.28406995534897, 
               -.17996114492416, 
               -.15805125236511, 
               -.10306460410357, 
               -.17853192985058, 
               -.06575367599726, 
               -.22165396809578, 
               -.03239719197154, 
                .09813265502453, 
               -.18503764271736, 
                .08911459892988, 
               -.32306101918221, 
               -.09436126798391, 
               -.02511045895517, 
               -.05352900549769, 
                .03854943066835, 
               -.09526748210192, 
                .11897913366556, 
                -.0392786487937, 
               -.02946598827839, 
                .16219010949135, 
                .00110464950558, 
                .00843739509583, 
                .09793642908335, 
                .06185294687748, 
               -.15276403725147, 
               -.01174682471901, 
               -.03661911562085, 
               -.34144860506058, 
                 .0350341796875, 
               -.22955468297005, 
               -.18147730827332, 
               -.17327722907066, 
               -.16611096262932, 
               -.05984530970454, 
                .01872771047056, 
                .49001583456993, 
               -.15266172587872, 
                .84169203042984, 
                .39751008152962, 
                 .4900975227356, 
                .32289886474609, 
                .80797618627548, 
                .24352477490902, 
               -.30804550647736, 
                .12802444398403, 
               -.03521826863289, 
               -.01286232378334, 
               -.61022931337357, 
                .15346619486809, 
                .03366623818874, 
               -.06956738233566, 
                .45450806617737, 
               -.17585784196854, 
               -.07074139267206, 
                  .236572265625, 
                .26226228475571, 
                .62115287780762, 
                .49454152584076, 
                 .2515344619751, 
                .96773761510849, 
                 1.059788107872, 
                .71571981906891, 
                1.2943501472473, 
                1.1804445981979, 
               -.13193695247173, 
                .50954836606979, 
                .81006240844727, 
                .08316437155008, 
                .70129698514938, 
                 .0685763657093, 
               -.72836673259735, 
               -.88076442480087, 
                 1.191029548645, 
               -1.1375564336777, 
               -1.4797197580338, 
               -.08571709692478, 
               -.15994438529015, 
               -.15308164060116, 
                .16982398927212, 
                .00916088558733, 
               -.36624330282211, 
                -.0540459305048, 
               -.47744059562683, 
                .34354037046432, 
               -.40667590498924, 
               -.15817116200924, 
                .44324016571045, 
               -2.3000116348267, 
                .37564942240715, 
               -.11153698712587, 
                .41522192955017, 
                .38718286156654, 
                .13296109437943, 
                .25625845789909, 
                .01591204665601, 
                .25135138630867, 
                 .2947128713131, 
                .35212710499763, 
                .20491683483124, 
                .80747896432877, 
                .13140361011028, 
               -.28651690483093, 
                1.0351514816284, 
                .03413881734014, 
                .36231052875519, 
                1.6021218299866, 
               -.36632135510445, 
               -.93810379505157, 
                .02023027092218, 
               -.19445763528347, 
               -.04941740259528, 
               -.05388405546546, 
               -.04084182903171, 
                 .0705279931426, 
               -.04641156643629, 
               -.11742353439331, 
               -.38209563493729, 
                .11257757246494, 
               -.36303088068962, 
               -.05385848507285, 
                .22011630237103, 
               -.04950327426195, 
                .09418711811304, 
                .27163949608803, 
               -.28494849801064, 
               -.06609643250704, 
                .22633366286755, 
                .35593989491463, 
               -.20867441594601, 
                .20319482684135, 
                .13570418953896, 
               -.57254236936569, 
                -.3914600610733, 
                .24842712283134, 
               -.47811862826347, 
               -.62584692239761, 
                .28646802902222, 
               -.18130460381508, 
               -.01193272508681, 
                .37104898691177, 
               -.13449484109879, 
                .54850292205811, 
                .19198158383369, 
                .61046212911606, 
                 .6852103471756, 
               -.01043024007231, 
                .60122263431549, 
               -.43720445036888, 
               -.03149457275867, 
               -.85771811008453, 
               -.73165369033813, 
                .85756987333298, 
               -.38487648963928, 
                .31161326169968, 
                .39665061235428, 
               -.47309604287148, 
               -.38500571250916, 
                 .3709699511528, 
                 .4147045314312, 
                .04268322139978, 
                .69430238008499, 
                .52724367380142, 
                -.2172684520483, 
                .93211495876312, 
               -.42470565438271, 
                3.4158577919006, 
               -1.8283013105392, 
                .21201276779175, 
                 .7107213139534, 
               -2.2674646377563, 
                .92237722873688, 
                1.0809636116028, 
               -.05808337032795, 
                .49772322177887, 
                1.9626487493515, 
               -.34431591629982, 
                3.1413819789886, 
                -4.016538143158, 
               -5.5007371902466, 
                .76500922441483, 
                 1.078607916832, 
                .86516714096069])

mse = np.array([ .80370712280273, 
                 .80370712280273, 
                 .67928272485733, 
                 .66423606872559, 
                 .65418779850006, 
                 .64722007513046, 
                 .64226144552231, 
                 .63866710662842, 
                 .63602674007416, 
                 .63406819105148, 
                  .6326048374176, 
                 .63150554895401, 
                 .63067644834518, 
                 .63004916906357, 
                 .62957346439362, 
                 .62921214103699, 
                 .62893730401993, 
                 .62872803211212, 
                  .6285685300827, 
                 .62844693660736, 
                 .62835419178009, 
                 .62828344106674, 
                 .62822943925858, 
                 .62818819284439, 
                 .62815672159195, 
                  .6281327009201, 
                 .62811434268951, 
                 .62810027599335, 
                 .62808960676193, 
                  .6280814409256, 
                  .6280751824379, 
                 .62807041406631, 
                 .62806677818298, 
                 .62806397676468, 
                 .62806183099747, 
                 .62806022167206, 
                 .62805896997452, 
                  .6280580163002, 
                 .62805730104446, 
                 .62805676460266, 
                 .62805634737015, 
                 .62805598974228, 
                  .6280557513237, 
                 .62805557250977, 
                 .62805545330048, 
                 .62805533409119, 
                  .6280552148819, 
                 .62805515527725, 
                 .62805509567261, 
                 .62805509567261, 
                 .62805503606796, 
                 .62805503606796, 
                 .62805503606796, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332, 
                 .62805497646332])

stdp = np.array([ .86132872104645, 
                  .86132872104645, 
                  .58931648731232, 
                  .53695642948151, 
                  .43875110149384, 
                  .43893754482269, 
                  .36897498369217, 
                  .39383068680763, 
                  .35268598794937, 
                  .30327013134956, 
                   .3206245303154, 
                  .29862868785858, 
                   .2883597612381, 
                  .30968201160431, 
                  .26627779006958, 
                  .29635512828827, 
                  .27021989226341, 
                  .25900682806969, 
                  .29855474829674, 
                  .26389503479004, 
                   .2940701842308, 
                  .24996083974838, 
                  .25805163383484, 
                  .26306444406509, 
                  .27853038907051, 
                  .26575443148613, 
                     .29165366292, 
                    .262396723032, 
                  .30186694860458, 
                  .35503962635994, 
                  .31088310480118, 
                  .37306407094002, 
                  .29435822367668, 
                  .32511350512505, 
                  .35352823138237, 
                  .36144828796387, 
                  .39527052640915, 
                  .38102087378502, 
                  .43927636742592, 
                  .42946752905846, 
                  .43780836462975, 
                  .49889534711838, 
                  .49156260490417, 
                  .50206583738327, 
                  .53814554214478, 
                  .55276554822922, 
                  .51174682378769, 
                  .53661912679672, 
                  .54144555330276, 
                   .4649658203125, 
                  .52955776453018, 
                  .48147654533386, 
                  .47327646613121, 
                  .46611019968987, 
                  .45984682440758, 
                  .48127228021622, 
                  .50998419523239, 
                  .65266174077988, 
                   .5583056807518, 
                  .80249065160751, 
                  .80990171432495, 
                  .87710189819336, 
                  .89202457666397, 
                  1.0564744472504, 
                  1.0080462694168, 
                  .87197554111481, 
                  .93521976470947, 
                   .9128600358963, 
                  .91022855043411, 
                   .7465353012085, 
                    .866335272789, 
                  .86956661939621, 
                  .84549117088318, 
                  .97585707902908, 
                  .87074065208435, 
                  .86343002319336, 
                  .93773847818375, 
                  .97884559631348, 
                  1.1054569482803, 
                  1.1484670639038, 
                  1.1322609186172, 
                  1.3402134180069, 
                  1.4842771291733, 
                  1.5056529045105, 
                   1.719556927681, 
                  1.8319338560104, 
                  1.5904501676559, 
                  1.6899375915527, 
                  1.8168371915817, 
                  1.6987046003342, 
                  1.8314251899719, 
                  1.7283667325974, 
                  1.4807628393173, 
                   1.308970451355, 
                  1.7375549077988, 
                  1.2797228097916, 
                  .98571860790253, 
                  1.1599444150925, 
                  1.1530816555023, 
                    1.13017141819, 
                  1.1908437013626, 
                  1.1662386655807, 
                  1.0540459156036, 
                  1.0774390697479, 
                  .95646268129349, 
                  1.1066728830338, 
                  .95817422866821, 
                  .95676136016846, 
                  1.1000070571899, 
                  .42435362935066, 
                  .81153392791748, 
                  .78478264808655, 
                  .91281259059906, 
                   .9670450091362, 
                  .94373846054077, 
                  .98408794403076, 
                   .9486455321312, 
                  1.0052901506424, 
                  1.0478744506836, 
                   1.095078587532, 
                  1.0925225019455, 
                  1.2685979604721, 
                  1.1865184307098, 
                  1.0648469924927, 
                  1.3658550977707, 
                  1.2376955747604, 
                  1.2978720664978, 
                  1.6663243770599, 
                   1.338112950325, 
                  1.0797605514526, 
                  1.1944576501846, 
                  1.1494234800339, 
                   1.153874874115, 
                  1.1408479213715, 
                  1.1294689178467, 
                  1.1464176177979, 
                  1.1174235343933, 
                  1.0820926427841, 
                  .98742854595184, 
                  1.0630278587341, 
                  .95385235548019, 
                     .97988063097, 
                   1.049503326416, 
                  1.0058189630508, 
                  1.0283635854721, 
                  1.0849515199661, 
                  .96609032154083, 
                  .97366327047348, 
                  1.0440692901611, 
                  1.1086683273315, 
                  .99680209159851, 
                  1.0642927885056, 
                  1.0725424289703, 
                   .8914600610733, 
                  .85157895088196, 
                  .97811859846115, 
                   .8258438706398, 
                  .71353197097778, 
                  .88130152225494, 
                  .81193578243256, 
                  .82894796133041, 
                   .9344978928566, 
                  .85150623321533, 
                  1.0080153942108, 
                   .9895287156105, 
                  1.1147927045822, 
                  1.2104271650314, 
                  1.0987895727158, 
                    1.23719227314, 
                  1.0314946174622, 
                  1.0577303171158, 
                   .8316445350647, 
                  .74243623018265, 
                  1.0848734378815, 
                  .88838368654251, 
                  1.0033586025238, 
                  1.0730868577957, 
                  .88500571250916, 
                  .82902699708939, 
                  .98530465364456, 
                   1.057307600975, 
                  1.0057097673416, 
                  1.1727533340454, 
                  1.2172684669495, 
                  1.0678850412369, 
                  1.3246995210648, 
                  1.0841422080994, 
                  2.0282983779907, 
                  1.0879902839661, 
                   1.289278626442, 
                  1.4674614667892, 
                  .75163400173187, 
                  1.2650294303894, 
                  1.4760826826096, 
                  1.2972749471664, 
                  1.3993507623672, 
                  1.8463147878647, 
                  1.4716247320175, 
                  2.2955448627472, 
                   .7857254743576, 
                 -.26799991726875, 
                  .71938097476959, 
                  1.0508332252502])

icstats = np.array([             202, 
                    np.nan, 
                    -239.91961140777, 
                                   5, 
                     489.83922281554, 
                     506.38056130255])

class Bunch(dict):
    def __init__(self, **kw):
        dict.__init__(self, kw)
        self.__dict__  = self


results = Bunch(llf=llf, nobs=nobs, k=k, k_exog=k_exog, sigma=sigma, chi2=chi2, df_model=df_model, k_ar=k_ar, k_ma=k_ma, params=params, cov_params=cov_params, xb=xb, y=y, resid=resid, yr=yr, mse=mse, stdp=stdp, icstats=icstats, )