import numpy as np

llf = np.array([-245.40783909604])

nobs = np.array([             202])

k = np.array([               5])

k_exog = np.array([               1])

sigma = np.array([  .8100467417583])

chi2 = np.array([   2153.20304012])

df_model = np.array([               3])

k_ar = np.array([               1])

k_ma = np.array([               2])

params = np.array([ .92817025087557, 
                   -.89593490671979, 
                    1.3025011610587, 
                    .30250063082791, 
                     .8100467417583])

cov_params = np.array([ .00638581549851, 
                         .0001858475428, 
                        2.8222806545671, 
                         .8538806860364, 
                       -1.1429127085819, 
                         .0001858475428, 
                        .00132037832566, 
                       -.14420925344502, 
                       -.04447007102804, 
                         .0576156187095, 
                        2.8222806545671, 
                       -.14420925344502, 
                        40397.568324803, 
                        12222.977216556, 
                       -16359.547340433, 
                         .8538806860364, 
                       -.04447007102804, 
                        12222.977216556, 
                        3698.2722243412, 
                       -4949.8609964351, 
                       -1.1429127085819, 
                         .0576156187095, 
                       -16359.547340433, 
                       -4949.8609964351, 
                        6625.0231409853]).reshape(5,5)

xb = np.array([ .92817026376724, 
                .92817026376724, 
                .69511789083481, 
                .77192437648773, 
                .66135895252228, 
                .77525061368942, 
                .64687132835388, 
                .79659670591354, 
                .65842008590698, 
                .71215486526489, 
                .69971066713333, 
                .72092038393021, 
                .68201982975006, 
                .76510280370712, 
                .64253836870193, 
                .78239262104034, 
                .64609551429749, 
                .74087703227997, 
                .71774411201477, 
                 .7119727730751, 
                .73067259788513, 
                .67785596847534, 
                .70898467302322, 
                .71334755420685, 
                .72984194755554, 
                 .7017787694931, 
                .75292426347733, 
                .67507487535477, 
                .78219056129456, 
                .78040039539337, 
                .71250075101852, 
                .82028061151505, 
                .63505899906158, 
                .79452306032181, 
                .72773635387421, 
                .79555094242096, 
                .76685506105423, 
                .77427339553833, 
                .82101213932037, 
                .77917188405991, 
                .78917801380157, 
                .86641925573349, 
                .78457218408585, 
                .83697980642319, 
                .83281791210175, 
                .85224026441574, 
                .75030690431595, 
                 .8551008105278, 
                .78025943040848, 
                .72790426015854, 
                .84552866220474, 
                .72061747312546, 
                .78669738769531, 
                .73868823051453, 
                .78071022033691, 
                .78002023696899, 
                .83737623691559, 
                .98988044261932, 
                .72882527112961, 
                1.2245427370071, 
                .85331875085831, 
                1.1637357473373, 
                .86477434635162, 
                1.3248475790024, 
                .81245219707489, 
                .98008638620377, 
                .85591268539429, 
                1.0162551403046, 
                 .8165408372879, 
                .78947591781616, 
                .94166398048401, 
                .93266606330872, 
                .85924750566483, 
                1.1245046854019, 
                .75576168298721, 
                1.0030617713928, 
                .91267073154449, 
                1.0848042964935, 
                1.0778224468231, 
                1.1551086902618, 
                .97817331552505, 
                1.4012540578842, 
                1.2360861301422, 
                1.3335381746292, 
                1.4352362155914, 
                1.4941285848618, 
                 .9415163397789, 
                 1.437669634819, 
                1.2404690980911, 
                1.2285294532776, 
                1.3219480514526, 
                1.1560415029526, 
                .83524394035339, 
                .87116771936417, 
                1.5561962127686, 
                .47358739376068, 
                .78093349933624, 
                .90549737215042, 
                1.0217791795731, 
                .86397403478622, 
                1.1526786088943, 
                .87662625312805, 
                .95803648233414, 
                .89513635635376, 
                .85281348228455, 
                1.0852742195129, 
                .76808404922485, 
                .96872144937515, 
                1.0732915401459, 
                .02145584858954, 
                1.3687089681625, 
                .50049883127213, 
                1.3895837068558, 
                 .6889950633049, 
                1.2795144319534, 
                 .7050421833992, 
                1.2218985557556, 
                .74481928348541, 
                1.3074514865875, 
                 .7919961810112, 
                1.2807723283768, 
                1.0120536088943, 
                1.1938916444778, 
                .68923074007034, 
                1.6174983978271, 
                .64740318059921, 
                1.4949930906296, 
                1.2678960561752, 
                1.0586776733398, 
                .55762887001038, 
                1.2790743112564, 
                .66515874862671, 
                1.2538269758224, 
                .70554333925247, 
                1.2391568422318, 
                .75241559743881, 
                1.2129040956497, 
                .69235223531723, 
                1.0785228013992, 
                 .8043577671051, 
                1.0037930011749, 
                .78750842809677, 
                1.1880930662155, 
                .74399447441101, 
                1.1791603565216, 
                .85870295763016, 
                1.0032330751419, 
                 .8019300699234, 
                1.1696527004242, 
                .92376220226288, 
                .99186056852341, 
                .94733852148056, 
                1.0748032331467, 
                .64247089624405, 
                .95419937372208, 
                .92043441534042, 
                 .8104555606842, 
                .66252142190933, 
                1.1178470849991, 
                .69223344326019, 
                1.0570795536041, 
                .90239083766937, 
                .95320242643356, 
                1.0541093349457, 
                1.0082466602325, 
                1.1376332044601, 
                1.1841852664948, 
                .90440809726715, 
                1.2733660936356, 
                .66835701465607, 
                1.1515763998032, 
                .44600257277489, 
                .93500959873199, 
                1.0847823619843, 
                .83353632688522, 
                1.0442448854446, 
                 1.077241897583, 
                .71010553836823, 
                .89557945728302, 
                1.0163468122482, 
                 1.094814658165, 
                .89641278982162, 
                1.2808450460434, 
                1.0223702192307, 
                .96094745397568, 
                 1.309353351593, 
                .73499941825867, 
                2.4902238845825, 
                -.2579345703125, 
                1.9272556304932, 
                .53125941753387, 
                 .7708500623703, 
                1.0312130451202, 
                1.6360099315643, 
                 .6022145152092, 
                1.6338716745377, 
                1.3494771718979, 
                1.1322995424271, 
                2.1901025772095, 
               -.72639065980911, 
               -.37026473879814, 
                1.2391144037247, 
                1.1353877782822])

y = np.array([np.nan, 
               29.908170700073, 
                29.84511756897, 
               30.121925354004, 
               30.031360626221, 
               30.315252304077, 
               30.196870803833, 
                 30.5465965271, 
               30.498420715332, 
                30.52215385437, 
               30.619710922241, 
                30.70092010498, 
               30.722021102905, 
               30.975101470947, 
               30.862537384033, 
               31.162391662598, 
               31.086095809937, 
               31.220876693726, 
               31.407745361328, 
               31.461973190308, 
               31.670673370361, 
               31.627857208252, 
               31.728984832764, 
               31.833349227905, 
               32.009841918945, 
                32.08177947998, 
                32.33292388916, 
               32.325073242188, 
               32.662189483643, 
               33.060398101807, 
               33.162502288818, 
               33.670280456543, 
               33.535060882568, 
               33.894519805908, 
               34.127738952637, 
               34.495552062988, 
               34.866851806641, 
                35.17427444458, 
               35.721012115479, 
               36.079170227051, 
               36.489177703857, 
                37.16641998291, 
               37.584571838379, 
               38.136978149414, 
               38.732818603516, 
               39.352241516113, 
                39.65030670166, 
               40.255104064941, 
                40.68025970459, 
               40.827903747559, 
               41.445526123047, 
               41.620620727539, 
               41.986698150635, 
               42.238689422607, 
               42.580707550049, 
                42.98002243042, 
               43.537376403809, 
               44.689880371094, 
               44.928825378418, 
               46.824542999268, 
               47.653316497803, 
               49.263732910156, 
               50.164772033691, 
               52.324848175049, 
               53.112449645996, 
               53.980087280273, 
               54.855911254883, 
               55.916255950928, 
               56.616539001465, 
               56.889472961426, 
               57.941665649414, 
               58.832668304443, 
                59.55924987793, 
               61.124504089355, 
               61.555759429932, 
               62.603061676025, 
               63.612670898438, 
               64.984802246094, 
               66.577819824219, 
               68.255104064941, 
               69.478172302246, 
               72.001251220703, 
               74.236083984375, 
               76.533538818359, 
               79.435234069824, 
                82.39412689209, 
               83.541511535645, 
               86.137664794922, 
               88.440467834473, 
                90.32852935791, 
                92.82194519043, 
               94.556045532227, 
               95.235244750977, 
               95.871170043945, 
               99.056198120117, 
               98.573585510254, 
               98.680938720703, 
               99.705497741699, 
               100.82178497314, 
               101.66397857666, 
               103.25267791748, 
               104.17662811279, 
                105.0580368042, 
               105.99513244629, 
               106.55281066895, 
               108.08527374268, 
               108.46807861328, 
               109.46871948242, 
               110.97328948975, 
               108.72145080566, 
               110.86870574951, 
               110.70049285889, 
               112.78958892822, 
               113.38899230957, 
                115.0795211792, 
               115.70503997803, 
               117.22190093994, 
               117.94481658936, 
               119.80744934082, 
               120.69200134277, 
               122.48076629639, 
               124.11205291748, 
               125.69389343262, 
               126.08923339844, 
               129.11749267578, 
               129.54739379883, 
               131.99499511719, 
               134.66789245605, 
               135.75866699219, 
                135.6576385498, 
               137.47906494141, 
               137.86515808105, 
               139.55383300781, 
               140.10552978516, 
               141.73915100098, 
               142.45240783691, 
               144.01290893555, 
               144.49235534668, 
               145.57852172852, 
               146.40435791016, 
               147.30380249023, 
               147.98750305176, 
               149.58808898926, 
               150.14398193359, 
               151.67915344238, 
               152.65870666504, 
                153.6032409668, 
               154.30192565918, 
               155.86964416504, 
               157.02377319336, 
               157.99186706543, 
               159.14733886719, 
               160.47479248047, 
               160.54246520996, 
               161.35418701172, 
               162.42044067383, 
               162.81045532227, 
               162.86251831055, 
               164.31784057617, 
               164.59222412109, 
               165.75708007813, 
               166.80238342285, 
               167.65319824219, 
               169.15411376953, 
               170.30824279785, 
               172.03762817383, 
               173.88418579102, 
               174.80439758301, 
               176.87336730957, 
               177.06834411621, 
               178.55157470703, 
               178.04600524902, 
               178.63500976563, 
               180.38478088379, 
               180.83354187012, 
               182.24424743652, 
               183.67724609375, 
               183.91009521484, 
               184.59558105469, 
               185.91633605957, 
               187.39482116699, 
               188.29640197754, 
               190.38084411621, 
               191.82237243652, 
               192.76095581055, 
               195.10935974121, 
               195.43499755859, 
               201.69021606445, 
               199.14205932617, 
               202.62725830078, 
               203.23126220703, 
               202.67083740234, 
               204.60522460938, 
               207.55601501465, 
               207.94021606445, 
               210.76686096191, 
               213.84446716309, 
               215.12928771973, 
               220.80010986328, 
               216.16261291504, 
               211.80372619629, 
               213.91012573242, 
               215.60438537598])

resid = np.array([np.nan, 
                   -.7581701874733, 
                  -.49511715769768, 
                  -.75192391872406, 
                  -.49135887622833, 
                  -.76525229215622, 
                  -.44687059521675, 
                  -.70659655332565, 
                  -.68842077255249, 
                  -.60215425491333, 
                  -.63971120119095, 
                  -.66091901063919, 
                  -.51202166080475, 
                  -.75510257482529, 
                  -.48253855109215, 
                  -.72239124774933, 
                  -.60609650611877, 
                  -.53087604045868, 
                  -.65774464607239, 
                  -.52197223901749, 
                   -.7206723690033, 
                  -.60785627365112, 
                   -.6089842915535, 
                  -.55334770679474, 
                  -.62984347343445, 
                  -.50177800655365, 
                  -.68292456865311, 
                  -.44507533311844, 
                  -.38219094276428, 
                  -.61039841175079, 
                  -.31250306963921, 
                  -.77027755975723, 
                   -.4350620508194, 
                    -.494520008564, 
                  -.42773708701134, 
                  -.39555323123932, 
                  -.46685197949409, 
                  -.27427339553833, 
                  -.42101442813873, 
                  -.37917038798332, 
                  -.18917952477932, 
                  -.36641922593117, 
                  -.28457221388817, 
                  -.23697751760483, 
                  -.23281940817833, 
                  -.45223876833916, 
                  -.25030693411827, 
                  -.35510078072548, 
                  -.58026248216629, 
                  -.22790426015854, 
                  -.54552561044693, 
                  -.42061823606491, 
                  -.48669815063477, 
                  -.43868899345398, 
                  -.38070866465569, 
                  -.28002023696899, 
                   .16262374818325, 
                  -.48988044261932, 
                   .67117244005203, 
                  -.02454199641943, 
                   .44668045639992, 
                    .0362650193274, 
                   .83522641658783, 
                  -.02484837733209, 
                  -.11245145648718, 
                   .01991361007094, 
                    .0440888479352, 
                   -.1162573993206, 
                  -.51654160022736, 
                   .11052562296391, 
                  -.04166246205568, 
                  -.13266679644585, 
                    .4407517015934, 
                  -.32450538873672, 
                   .04423752427101, 
                    .0969405695796, 
                   .28733000159264, 
                   .51519411802292, 
                   .52217602729797, 
                   .24489280581474, 
                   1.1218250989914, 
                   .99874752759933, 
                   .96391087770462, 
                   1.4664648771286, 
                   1.4647653102875, 
                   .20586840808392, 
                   1.1584821939468, 
                    1.062330365181, 
                   .65953236818314, 
                   1.1714720726013, 
                   .57805341482162, 
                  -.15604154765606, 
                  -.23524549603462, 
                   1.6288322210312, 
                  -.95619779825211, 
                  -.67358434200287, 
                    .1190680116415, 
                   .09450265020132, 
                  -.02177914790809, 
                   .43602138757706, 
                   .04732597246766, 
                  -.07663082331419, 
                    .0419635027647, 
                  -.29513788223267, 
                   .44718953967094, 
                  -.38527730107307, 
                    .0319189876318, 
                   .43128004670143, 
                  -2.2732961177826, 
                   .77854722738266, 
                  -.66871201992035, 
                   .69950574636459, 
                  -.08958829939365, 
                   .41101104021072, 
                  -.07951752096415, 
                    .2949578166008, 
                  -.02190163731575, 
                    .5551837682724, 
                    .0925500690937, 
                   .50799924135208, 
                   .61922925710678, 
                   .38794788718224, 
                  -.29389011859894, 
                   1.4107677936554, 
                  -.21750450134277, 
                   .95260292291641, 
                   1.4050008058548, 
                   .03210696578026, 
                  -.65866851806641, 
                   .54236197471619, 
                  -.27907428145409, 
                   .43484738469124, 
                  -.15383619070053, 
                   .39446276426315, 
                  -.03915995359421, 
                   .34759050607681, 
                  -.21290412545204, 
                   .00764474179596, 
                   .02148328535259, 
                  -.10436081886292, 
                  -.10379911959171, 
                   .41248852014542, 
                  -.18809306621552, 
                   .35601159930229, 
                   .12084264308214, 
                  -.05869990959764, 
                  -.10323911905289, 
                   .39806687831879, 
                    .2303563952446, 
                  -.02376830019057, 
                   .20813637971878, 
                   .25265842676163, 
                  -.57480323314667, 
                  -.14247089624405, 
                   .14580672979355, 
                   -.4204343855381, 
                  -.61045861244202, 
                   .33747857809067, 
                  -.41785016655922, 
                   .10776958614588, 
                   .14291742444038, 
                   -.1023878082633, 
                   .44680669903755, 
                   .14588765799999, 
                   .59174418449402, 
                   .66236984729767, 
                   .01581169478595, 
                    .7956041097641, 
                  -.47337827086449, 
                   .33164295554161, 
                  -.95156413316727, 
                  -.34601172804832, 
                   .66499650478363, 
                  -.38478538393974, 
                   .36646059155464, 
                   .35576421022415, 
                  -.47725108265877, 
                  -.21010553836823, 
                   .30441749095917, 
                   .38366231322289, 
                   .00517613813281, 
                   .80359941720963, 
                   .41915187239647, 
                  -.02237024717033, 
                    1.039052605629, 
                    -.409359395504, 
                   3.7650005817413, 
                  -2.2902269363403, 
                   1.5579376220703, 
                     .072744384408, 
                  -1.3312624692917, 
                   .90316116809845, 
                   1.3147799968719, 
                  -.21801064908504, 
                   1.1927837133408, 
                   1.7281278371811, 
                   .15252174437046, 
                   3.4807071685791, 
                  -3.9110956192017, 
                  -3.9886209964752, 
                   .86727404594421, 
                   .55887448787689, 
                   .78061258792877])

yr = np.array([np.nan, 
                -.7581701874733, 
               -.49511715769768, 
               -.75192391872406, 
               -.49135887622833, 
               -.76525229215622, 
               -.44687059521675, 
               -.70659655332565, 
               -.68842077255249, 
               -.60215425491333, 
               -.63971120119095, 
               -.66091901063919, 
               -.51202166080475, 
               -.75510257482529, 
               -.48253855109215, 
               -.72239124774933, 
               -.60609650611877, 
               -.53087604045868, 
               -.65774464607239, 
               -.52197223901749, 
                -.7206723690033, 
               -.60785627365112, 
                -.6089842915535, 
               -.55334770679474, 
               -.62984347343445, 
               -.50177800655365, 
               -.68292456865311, 
               -.44507533311844, 
               -.38219094276428, 
               -.61039841175079, 
               -.31250306963921, 
               -.77027755975723, 
                -.4350620508194, 
                 -.494520008564, 
               -.42773708701134, 
               -.39555323123932, 
               -.46685197949409, 
               -.27427339553833, 
               -.42101442813873, 
               -.37917038798332, 
               -.18917952477932, 
               -.36641922593117, 
               -.28457221388817, 
               -.23697751760483, 
               -.23281940817833, 
               -.45223876833916, 
               -.25030693411827, 
               -.35510078072548, 
               -.58026248216629, 
               -.22790426015854, 
               -.54552561044693, 
               -.42061823606491, 
               -.48669815063477, 
               -.43868899345398, 
               -.38070866465569, 
               -.28002023696899, 
                .16262374818325, 
               -.48988044261932, 
                .67117244005203, 
               -.02454199641943, 
                .44668045639992, 
                 .0362650193274, 
                .83522641658783, 
               -.02484837733209, 
               -.11245145648718, 
                .01991361007094, 
                 .0440888479352, 
                -.1162573993206, 
               -.51654160022736, 
                .11052562296391, 
               -.04166246205568, 
               -.13266679644585, 
                 .4407517015934, 
               -.32450538873672, 
                .04423752427101, 
                 .0969405695796, 
                .28733000159264, 
                .51519411802292, 
                .52217602729797, 
                .24489280581474, 
                1.1218250989914, 
                .99874752759933, 
                .96391087770462, 
                1.4664648771286, 
                1.4647653102875, 
                .20586840808392, 
                1.1584821939468, 
                 1.062330365181, 
                .65953236818314, 
                1.1714720726013, 
                .57805341482162, 
               -.15604154765606, 
               -.23524549603462, 
                1.6288322210312, 
               -.95619779825211, 
               -.67358434200287, 
                 .1190680116415, 
                .09450265020132, 
               -.02177914790809, 
                .43602138757706, 
                .04732597246766, 
               -.07663082331419, 
                 .0419635027647, 
               -.29513788223267, 
                .44718953967094, 
               -.38527730107307, 
                 .0319189876318, 
                .43128004670143, 
               -2.2732961177826, 
                .77854722738266, 
               -.66871201992035, 
                .69950574636459, 
               -.08958829939365, 
                .41101104021072, 
               -.07951752096415, 
                 .2949578166008, 
               -.02190163731575, 
                 .5551837682724, 
                 .0925500690937, 
                .50799924135208, 
                .61922925710678, 
                .38794788718224, 
               -.29389011859894, 
                1.4107677936554, 
               -.21750450134277, 
                .95260292291641, 
                1.4050008058548, 
                .03210696578026, 
               -.65866851806641, 
                .54236197471619, 
               -.27907428145409, 
                .43484738469124, 
               -.15383619070053, 
                .39446276426315, 
               -.03915995359421, 
                .34759050607681, 
               -.21290412545204, 
                .00764474179596, 
                .02148328535259, 
               -.10436081886292, 
               -.10379911959171, 
                .41248852014542, 
               -.18809306621552, 
                .35601159930229, 
                .12084264308214, 
               -.05869990959764, 
               -.10323911905289, 
                .39806687831879, 
                 .2303563952446, 
               -.02376830019057, 
                .20813637971878, 
                .25265842676163, 
               -.57480323314667, 
               -.14247089624405, 
                .14580672979355, 
                -.4204343855381, 
               -.61045861244202, 
                .33747857809067, 
               -.41785016655922, 
                .10776958614588, 
                .14291742444038, 
                -.1023878082633, 
                .44680669903755, 
                .14588765799999, 
                .59174418449402, 
                .66236984729767, 
                .01581169478595, 
                 .7956041097641, 
               -.47337827086449, 
                .33164295554161, 
               -.95156413316727, 
               -.34601172804832, 
                .66499650478363, 
               -.38478538393974, 
                .36646059155464, 
                .35576421022415, 
               -.47725108265877, 
               -.21010553836823, 
                .30441749095917, 
                .38366231322289, 
                .00517613813281, 
                .80359941720963, 
                .41915187239647, 
               -.02237024717033, 
                 1.039052605629, 
                 -.409359395504, 
                3.7650005817413, 
               -2.2902269363403, 
                1.5579376220703, 
                  .072744384408, 
               -1.3312624692917, 
                .90316116809845, 
                1.3147799968719, 
               -.21801064908504, 
                1.1927837133408, 
                1.7281278371811, 
                .15252174437046, 
                3.4807071685791, 
               -3.9110956192017, 
               -3.9886209964752, 
                .86727404594421, 
                .55887448787689, 
                .78061258792877])

mse = np.array([ .77732294797897, 
                 .77732294797897, 
                 .70387578010559, 
                 .69261533021927, 
                 .68906670808792, 
                 .68708789348602, 
                 .68558460474014, 
                 .68429106473923, 
                  .6831266283989, 
                 .68206071853638, 
                 .68107759952545, 
                 .68016695976257, 
                 .67932069301605, 
                 .67853212356567, 
                 .67779558897018, 
                 .67710596323013, 
                 .67645901441574, 
                  .6758508682251, 
                 .67527812719345, 
                 .67473775148392, 
                 .67422717809677, 
                 .67374390363693, 
                 .67328584194183, 
                  .6728510260582, 
                 .67243778705597, 
                 .67204451560974, 
                 .67166984081268, 
                 .67131245136261, 
                 .67097115516663, 
                 .67064493894577, 
                 .67033278942108, 
                 .67003381252289, 
                 .66974723339081, 
                 .66947221755981, 
                 .66920816898346, 
                 .66895437240601, 
                 .66871029138565, 
                 .66847538948059, 
                 .66824907064438, 
                 .66803097724915, 
                 .66782057285309, 
                 .66761755943298, 
                 .66742146015167, 
                 .66723203659058, 
                 .66704881191254, 
                 .66687160730362, 
                 .66670006513596, 
                 .66653394699097, 
                 .66637301445007, 
                 .66621696949005, 
                 .66606563329697, 
                 .66591882705688, 
                 .66577625274658, 
                 .66563785076141, 
                 .66550332307816, 
                 .66537261009216, 
                  .6652455329895, 
                 .66512185335159, 
                 .66500157117844, 
                 .66488444805145, 
                 .66477036476135, 
                 .66465926170349, 
                 .66455101966858, 
                 .66444545984268, 
                  .6643425822258, 
                 .66424214839935, 
                 .66414421796799, 
                 .66404861211777, 
                 .66395533084869, 
                 .66386413574219, 
                 .66377514600754, 
                 .66368812322617, 
                 .66360312700272, 
                 .66351997852325, 
                 .66343873739243, 
                  .6633592247963, 
                 .66328144073486, 
                 .66320532560349, 
                 .66313081979752, 
                 .66305786371231, 
                 .66298645734787, 
                  .6629164814949, 
                 .66284799575806, 
                 .66278082132339, 
                 .66271501779556, 
                 .66265046596527, 
                 .66258722543716, 
                  .6625252366066, 
                 .66246438026428, 
                 .66240465641022, 
                 .66234612464905, 
                 .66228866577148, 
                 .66223222017288, 
                 .66217684745789, 
                 .66212248802185, 
                 .66206908226013, 
                 .66201663017273, 
                   .661965072155, 
                 .66191446781158, 
                  .6618646979332, 
                 .66181582212448, 
                 .66176778078079, 
                 .66172051429749, 
                 .66167408227921, 
                 .66162836551666, 
                 .66158348321915, 
                 .66153925657272, 
                 .66149580478668, 
                 .66145300865173, 
                 .66141092777252, 
                  .6613695025444, 
                 .66132873296738, 
                  .6612885594368, 
                 .66124904155731, 
                 .66121011972427, 
                 .66117179393768, 
                 .66113406419754, 
                  .6610968708992, 
                 .66106027364731, 
                 .66102415323257, 
                 .66098862886429, 
                 .66095358133316, 
                 .66091907024384, 
                 .66088503599167, 
                 .66085147857666, 
                 .66081839799881, 
                 .66078579425812, 
                 .66075360774994, 
                 .66072189807892, 
                 .66069066524506, 
                 .66065979003906, 
                 .66062939167023, 
                 .66059935092926, 
                 .66056972742081, 
                 .66054052114487, 
                  .6605116724968, 
                 .66048324108124, 
                  .6604551076889, 
                 .66042739152908, 
                 .66040003299713, 
                 .66037303209305, 
                 .66034632921219, 
                 .66032004356384, 
                 .66029399633408, 
                 .66026836633682, 
                 .66024297475815, 
                 .66021794080734, 
                 .66019320487976, 
                  .6601687669754, 
                 .66014462709427, 
                 .66012072563171, 
                 .66009718179703, 
                 .66007387638092, 
                 .66005086898804, 
                 .66002810001373, 
                 .66000562906265, 
                 .65998339653015, 
                 .65996146202087, 
                 .65993976593018, 
                 .65991830825806, 
                 .65989708900452, 
                 .65987610816956, 
                 .65985536575317, 
                 .65983480215073, 
                  .6598145365715, 
                 .65979450941086, 
                 .65977466106415, 
                 .65975499153137, 
                 .65973562002182, 
                  .6597164273262, 
                 .65969741344452, 
                 .65967857837677, 
                  .6596599817276, 
                 .65964162349701, 
                 .65962338447571, 
                 .65960538387299, 
                  .6595875620842, 
                 .65956991910934, 
                 .65955245494843, 
                 .65953516960144, 
                 .65951806306839, 
                 .65950113534927, 
                 .65948438644409, 
                  .6594677567482, 
                 .65945136547089, 
                 .65943509340286, 
                 .65941900014877, 
                 .65940302610397, 
                 .65938723087311, 
                 .65937161445618, 
                 .65935611724854, 
                 .65934079885483, 
                 .65932559967041, 
                 .65931057929993, 
                 .65929567813873, 
                 .65928089618683, 
                 .65926629304886, 
                 .65925180912018, 
                 .65923744440079, 
                 .65922319889069, 
                 .65920913219452, 
                 .65919518470764, 
                 .65918135643005])

stdp = np.array([ .92817026376724, 
                  .92817026376724, 
                  .69511789083481, 
                  .77192437648773, 
                  .66135895252228, 
                  .77525061368942, 
                  .64687132835388, 
                  .79659670591354, 
                  .65842008590698, 
                  .71215486526489, 
                  .69971066713333, 
                  .72092038393021, 
                  .68201982975006, 
                  .76510280370712, 
                  .64253836870193, 
                  .78239262104034, 
                  .64609551429749, 
                  .74087703227997, 
                  .71774411201477, 
                   .7119727730751, 
                  .73067259788513, 
                  .67785596847534, 
                  .70898467302322, 
                  .71334755420685, 
                  .72984194755554, 
                   .7017787694931, 
                  .75292426347733, 
                  .67507487535477, 
                  .78219056129456, 
                  .78040039539337, 
                  .71250075101852, 
                  .82028061151505, 
                  .63505899906158, 
                  .79452306032181, 
                  .72773635387421, 
                  .79555094242096, 
                  .76685506105423, 
                  .77427339553833, 
                  .82101213932037, 
                  .77917188405991, 
                  .78917801380157, 
                  .86641925573349, 
                  .78457218408585, 
                  .83697980642319, 
                  .83281791210175, 
                  .85224026441574, 
                  .75030690431595, 
                   .8551008105278, 
                  .78025943040848, 
                  .72790426015854, 
                  .84552866220474, 
                  .72061747312546, 
                  .78669738769531, 
                  .73868823051453, 
                  .78071022033691, 
                  .78002023696899, 
                  .83737623691559, 
                  .98988044261932, 
                  .72882527112961, 
                  1.2245427370071, 
                  .85331875085831, 
                  1.1637357473373, 
                  .86477434635162, 
                  1.3248475790024, 
                  .81245219707489, 
                  .98008638620377, 
                  .85591268539429, 
                  1.0162551403046, 
                   .8165408372879, 
                  .78947591781616, 
                  .94166398048401, 
                  .93266606330872, 
                  .85924750566483, 
                  1.1245046854019, 
                  .75576168298721, 
                  1.0030617713928, 
                  .91267073154449, 
                  1.0848042964935, 
                  1.0778224468231, 
                  1.1551086902618, 
                  .97817331552505, 
                  1.4012540578842, 
                  1.2360861301422, 
                  1.3335381746292, 
                  1.4352362155914, 
                  1.4941285848618, 
                   .9415163397789, 
                   1.437669634819, 
                  1.2404690980911, 
                  1.2285294532776, 
                  1.3219480514526, 
                  1.1560415029526, 
                  .83524394035339, 
                  .87116771936417, 
                  1.5561962127686, 
                  .47358739376068, 
                  .78093349933624, 
                  .90549737215042, 
                  1.0217791795731, 
                  .86397403478622, 
                  1.1526786088943, 
                  .87662625312805, 
                  .95803648233414, 
                  .89513635635376, 
                  .85281348228455, 
                  1.0852742195129, 
                  .76808404922485, 
                  .96872144937515, 
                  1.0732915401459, 
                  .02145584858954, 
                  1.3687089681625, 
                  .50049883127213, 
                  1.3895837068558, 
                   .6889950633049, 
                  1.2795144319534, 
                   .7050421833992, 
                  1.2218985557556, 
                  .74481928348541, 
                  1.3074514865875, 
                   .7919961810112, 
                  1.2807723283768, 
                  1.0120536088943, 
                  1.1938916444778, 
                  .68923074007034, 
                  1.6174983978271, 
                  .64740318059921, 
                  1.4949930906296, 
                  1.2678960561752, 
                  1.0586776733398, 
                  .55762887001038, 
                  1.2790743112564, 
                  .66515874862671, 
                  1.2538269758224, 
                  .70554333925247, 
                  1.2391568422318, 
                  .75241559743881, 
                  1.2129040956497, 
                  .69235223531723, 
                  1.0785228013992, 
                   .8043577671051, 
                  1.0037930011749, 
                  .78750842809677, 
                  1.1880930662155, 
                  .74399447441101, 
                  1.1791603565216, 
                  .85870295763016, 
                  1.0032330751419, 
                   .8019300699234, 
                  1.1696527004242, 
                  .92376220226288, 
                  .99186056852341, 
                  .94733852148056, 
                  1.0748032331467, 
                  .64247089624405, 
                  .95419937372208, 
                  .92043441534042, 
                   .8104555606842, 
                  .66252142190933, 
                  1.1178470849991, 
                  .69223344326019, 
                  1.0570795536041, 
                  .90239083766937, 
                  .95320242643356, 
                  1.0541093349457, 
                  1.0082466602325, 
                  1.1376332044601, 
                  1.1841852664948, 
                  .90440809726715, 
                  1.2733660936356, 
                  .66835701465607, 
                  1.1515763998032, 
                  .44600257277489, 
                  .93500959873199, 
                  1.0847823619843, 
                  .83353632688522, 
                  1.0442448854446, 
                   1.077241897583, 
                  .71010553836823, 
                  .89557945728302, 
                  1.0163468122482, 
                   1.094814658165, 
                  .89641278982162, 
                  1.2808450460434, 
                  1.0223702192307, 
                  .96094745397568, 
                   1.309353351593, 
                  .73499941825867, 
                  2.4902238845825, 
                  -.2579345703125, 
                  1.9272556304932, 
                  .53125941753387, 
                   .7708500623703, 
                  1.0312130451202, 
                  1.6360099315643, 
                   .6022145152092, 
                  1.6338716745377, 
                  1.3494771718979, 
                  1.1322995424271, 
                  2.1901025772095, 
                 -.72639065980911, 
                 -.37026473879814, 
                  1.2391144037247, 
                  1.1353877782822])

icstats = np.array([             202, 
                    np.nan, 
                    -245.40783909604, 
                                   5, 
                     500.81567819208, 
                     517.35701667909])

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, )