import numpy as np

llf = np.array([-239.75290561974])

nobs = np.array([             202])

k = np.array([               4])

k_exog = np.array([               1])

sigma = np.array([ .79291203639424])

chi2 = np.array([ 35036.682546665])

df_model = np.array([               3])

k_ar = np.array([               1])

k_ma = np.array([               2])

params = np.array([ .99954097483478, 
                   -.69022779461512, 
                   -.20477682541104, 
                    .62870949745886])

cov_params = np.array([ .00007344276568, 
                       -.00016074342677, 
                       -.00018478942445, 
                        8.040251506e-06, 
                       -.00016074342677, 
                        .00094099304774, 
                        .00017233777676, 
                        -.0000145011098, 
                       -.00018478942445, 
                        .00017233777676, 
                        .00103352686916, 
                        .00030686101903, 
                        8.040251506e-06, 
                        -.0000145011098, 
                        .00030686101903, 
                        .00067796985496]).reshape(4,4)

xb = np.array([               0, 
                              0, 
                .05104803293943, 
                .06663129478693, 
                .02164618112147, 
                 .0773858949542, 
                .02606418170035, 
                .09391833096743, 
                .05710592120886, 
                .03083370067179, 
                .07319989800453, 
                .05287836492062, 
                .05776296555996, 
                .09105986356735, 
                .04293738678098, 
                .09576436132193, 
                .06068528071046, 
                .06157376244664, 
                .11172580718994, 
                .06527806818485, 
                .11443704366684, 
                .05653077363968, 
                .08205550909042, 
                .08481238037348, 
                .10436166077852, 
                 .0875685736537, 
                .12320486456156, 
                .08366665989161, 
                .13979130983353, 
                 .1902572363615, 
                 .1306214183569, 
                .21803694963455, 
                .11079790443182, 
                .17274764180183, 
                 .1937662512064, 
                .20047917962074, 
                .24034893512726, 
                .21783453226089, 
                .29279819130898, 
                .26804205775261, 
                .28678458929062, 
                .35651323199272, 
                .33659368753433, 
                .35760068893433, 
                .39895334839821, 
                .41131839156151, 
                .36645981669426, 
                .40991494059563, 
                .41024547815323, 
                .32657703757286, 
                .42312324047089, 
                .34933325648308, 
                .35912537574768, 
                .35077446699142, 
                .34701564908028, 
                .37364318966866, 
                .40170526504517, 
                .56070649623871, 
                .41915491223335, 
                .73478156328201, 
                .67748892307281, 
                 .7744625210762, 
                .77825599908829, 
                .97586625814438, 
                .88692498207092, 
                .76232481002808, 
                .87376874685287, 
                .83281141519547, 
                .84783887863159, 
                .66423743963242, 
                .84904235601425, 
                .81613594293594, 
                .80033475160599, 
                .95782464742661, 
                .80624777078629, 
                .83626395463943, 
                .91873735189438, 
                .95130664110184, 
                1.0939226150513, 
                1.1171194314957, 
                1.1004731655121, 
                1.3512066602707, 
                1.4703129529953, 
                1.4805699586868, 
                1.7385860681534, 
                1.8268398046494, 
                1.5489361286163, 
                1.7446503639221, 
                 1.864644408226, 
                1.7200467586517, 
                1.9223358631134, 
                 1.775306224823, 
                1.5392524003983, 
                1.4067870378494, 
                1.9366238117218, 
                1.2984343767166, 
                1.1080636978149, 
                1.3500427007675, 
                1.2837564945221, 
                1.2670782804489, 
                1.3347851037979, 
                1.2857422828674, 
                1.1625040769577, 
                1.2111755609512, 
                1.0548515319824, 
                1.2553508281708, 
                1.0327949523926, 
                1.0740388631821, 
                 1.222040772438, 
                .40555971860886, 
                1.0233588218689, 
                .84209614992142, 
                1.0186324119568, 
                1.0319027900696, 
                .99487775564194, 
                1.0439211130142, 
                .98785293102264, 
                1.0620124340057, 
                1.0916963815689, 
                1.1378232240677, 
                1.1243290901184, 
                1.3305295705795, 
                1.1925677061081, 
                1.0872994661331, 
                1.4599523544312, 
                1.2333589792252, 
                1.3584797382355, 
                1.7595859766006, 
                1.3009568452835, 
                1.1157965660095, 
                1.2948887348175, 
                1.2063180208206, 
                1.2332669496536, 
                1.2132470607758, 
                1.2049551010132, 
                1.2260574102402, 
                1.1875206232071, 
                1.1547852754593, 
                1.0519831180573, 
                1.1594845056534, 
                1.0069926977158, 
                1.0675266981125, 
                1.1299223899841, 
                1.0620901584625, 
                1.0999356508255, 
                1.1535499095917, 
                1.0026944875717, 
                1.0428657531738, 
                1.1120204925537, 
                1.1684119701385, 
                1.0258769989014, 
                1.1342295408249, 
                1.1183958053589, 
                .91313683986664, 
                .91156214475632, 
                1.0540328025818, 
                .84359037876129, 
                .75758427381516, 
                .96401190757751, 
                .83226495981216, 
                 .8759680390358, 
                .98239886760712, 
                .85917687416077, 
                1.0634194612503, 
                .99442666769028, 
                 1.153311252594, 
                1.2288066148758, 
                1.0869039297104, 
                 1.281947016716, 
                1.0067318677902, 
                1.1028815507889, 
                .82448446750641, 
                .78489726781845, 
                1.1850204467773, 
                .86753690242767, 
                1.0692945718765, 
                1.1030179262161, 
                 .8791960477829, 
                .86451041698456, 
                1.0455346107483, 
                 1.085998415947, 
                1.0172398090363, 
                1.2250980138779, 
                1.2316122055054, 
                 1.062157869339, 
                1.3991860151291, 
                1.0520887374878, 
                2.2203133106232, 
                .88833123445511, 
                1.4289729595184, 
                1.5206423997879, 
                .68520504236221, 
                1.4659557342529, 
                1.5350053310394, 
                1.3178979158401, 
                1.4888265132904, 
                1.9698411226273, 
                1.4406447410583, 
                 2.517040014267, 
                .55537897348404, 
               -.20722626149654, 
                1.0899519920349, 
                 1.164245724678])

y = np.array([np.nan, 
               28.979999542236, 
               29.201047897339, 
               29.416631698608, 
               29.391647338867, 
               29.617385864258, 
               29.576063156128, 
                29.84391784668, 
               29.897106170654, 
                29.84083366394, 
               29.993200302124, 
               30.032876968384, 
               30.097763061523, 
                 30.3010597229, 
               30.262937545776, 
               30.475763320923, 
               30.500686645508, 
               30.541572570801, 
               30.801725387573, 
               30.815279006958, 
               31.054437637329, 
               31.006530761719, 
               31.102056503296, 
                31.20481300354, 
               31.384363174438, 
               31.467567443848, 
               31.703205108643, 
               31.733665466309, 
               32.019790649414, 
                32.47025680542, 
               32.580623626709, 
               33.068035125732, 
               33.010799407959, 
               33.272747039795, 
               33.593769073486, 
               33.900478363037, 
               34.340347290039, 
               34.617835998535, 
               35.192798614502, 
               35.568042755127, 
               35.986785888672, 
               36.656513214111, 
                37.13659286499, 
               37.657600402832, 
                38.29895401001, 
               38.911319732666, 
               39.266460418701, 
               39.809917449951, 
               40.310245513916, 
               40.426574707031, 
               41.023120880127, 
               41.249336242676, 
               41.559127807617, 
               41.850772857666, 
                42.14701461792, 
               42.573642730713, 
               43.101707458496, 
               44.260707855225, 
               44.619155883789, 
               46.334781646729, 
               47.477489471436, 
               48.874462127686, 
               50.078254699707, 
                 51.9758644104, 
               53.186923980713, 
               53.762325286865, 
               54.873767852783, 
               55.732814788818, 
               56.647838592529, 
               56.764236450195, 
               57.849040985107, 
               58.716136932373, 
               59.500335693359, 
               60.957824707031, 
               61.606246948242, 
               62.436264038086, 
                63.61873626709, 
                64.85131072998, 
               66.593925476074, 
                68.21711730957, 
               69.600471496582, 
               71.951202392578, 
               74.470314025879, 
               76.680564880371, 
               79.738586425781, 
               82.726844787598, 
               84.148933410645, 
               86.444648742676, 
               89.064643859863, 
               90.820045471191, 
               93.422332763672, 
               95.175308227539, 
               95.939254760742, 
               96.406784057617, 
               99.436622619629, 
               99.398429870605, 
                99.00806427002, 
               100.15004730225, 
               101.08376312256, 
               102.06707763672, 
               103.43478393555, 
               104.58574676514, 
               105.26250457764, 
               106.31117248535, 
               106.75485229492, 
               108.25534820557, 
               108.73279571533, 
               109.57403564453, 
               111.12203979492, 
               109.10556030273, 
               110.52336120605, 
               111.04209136963, 
               112.41863250732, 
               113.73190307617, 
               114.79488372803, 
               116.04392242432, 
               116.98785400391, 
               118.26200866699, 
               119.59169769287, 
               121.03782653809, 
               122.32432556152, 
                124.4305267334, 
               125.69256591797, 
                126.4873046875, 
               128.95994567871, 
               130.13334655762, 
               131.85847473145, 
               135.15957641602, 
               136.00096130371, 
               136.21580505371, 
               137.49488830566, 
               138.40631103516, 
               139.53326416016, 
               140.61323547363, 
               141.70495605469, 
                142.9260559082, 
               143.98751831055, 
               144.95478820801, 
               145.55198669434, 
                146.7594909668, 
               147.30699157715, 
               148.26751708984, 
               149.52992248535, 
               150.46208190918, 
               151.59992980957, 
               152.95355224609, 
               153.60270690918, 
               154.54286193848, 
               155.81201171875, 
                157.2684173584, 
               158.02587890625, 
               159.33422851563, 
               160.51838684082, 
               160.81312561035, 
               161.31155395508, 
               162.55403137207, 
               162.84359741211, 
               162.95758056641, 
               164.16400146484, 
               164.73225402832, 
               165.57595825195, 
               166.88238525391, 
               167.55917358398, 
               169.16342163086, 
               170.29443359375, 
                172.0532989502, 
               173.92880249023, 
                174.9868927002, 
               176.88195800781, 
               177.40672302246, 
               178.50286865234, 
               178.42448425293, 
               178.48489379883, 
               180.48501586914, 
               180.86753845215, 
               182.26928710938, 
               183.70301818848, 
               184.07919311523, 
               184.56451416016, 
               185.94552612305, 
               187.38600158691, 
               188.41723632813, 
               190.32510375977, 
               192.03161621094, 
                192.8621673584, 
               195.19918823242, 
                195.7520904541, 
               201.42030334473, 
               200.28833007813, 
               202.12896728516, 
               204.22064208984, 
               202.58520507813, 
               205.03996276855, 
               207.45500183105, 
               208.65589904785, 
               210.62182617188, 
                  214.46484375, 
                215.4376373291, 
               221.12704467773, 
               217.44438171387, 
               211.96676635742, 
               213.76095581055, 
               215.63323974609])

resid = np.array([np.nan, 
                   .17000007629395, 
                   .14895272254944, 
                  -.04663083329797, 
                   .14835388958454, 
                    -.067387573421, 
                   .17393657565117, 
                  -.00391817837954, 
                  -.08710660785437, 
                   .07916691154242, 
                  -.01320043392479, 
                   .00712300790474, 
                   .11223520338535, 
                  -.08105963468552, 
                   .11706246435642, 
                  -.03576298803091, 
                   -.0206862706691, 
                   .14842723309994, 
                  -.05172633752227, 
                   .12472246587276, 
                    -.104436814785, 
                   .01346892025322, 
                   .01794487424195, 
                   .07518746703863, 
                  -.00436318712309, 
                   .11243218928576, 
                  -.05320516973734, 
                   .14633287489414, 
                   .26020830869675, 
                  -.02025525644422, 
                   .26937630772591, 
                  -.16803389787674, 
                   .08919904381037, 
                   .12725540995598, 
                   .10623299330473, 
                    .1995185315609, 
                   .05965411290526, 
                   .28216546773911, 
                   .10719951242208, 
                   .13195945322514, 
                   .31321388483047, 
                   .14348678290844, 
                   .16340629756451, 
                   .24240159988403, 
                   .20104511082172, 
                  -.01131687406451, 
                   .13354018330574, 
                   .09008505195379, 
                  -.21024852991104, 
                    .1734229773283, 
                  -.12312019616365, 
                  -.04933403432369, 
                  -.05912613496184, 
                  -.05077522993088, 
                   .05298588424921, 
                   .12635681033134, 
                   .59829473495483, 
                  -.06070650368929, 
                   .98084276914597, 
                   .46521919965744, 
                   .62251031398773, 
                   .42553821206093, 
                   .92174476385117, 
                   .32413294911385, 
                  -.18692423403263, 
                   .23767517507076, 
                   .02623280882835, 
                   .06718628853559, 
                  -.54783964157104, 
                   .23576405644417, 
                   .05095916613936, 
                  -.01613672077656, 
                   .49966445565224, 
                   -.1578253954649, 
                  -.00624855514616, 
                   .26373836398125, 
                   .28126338124275, 
                   .64869183301926, 
                   .50607579946518, 
                   .28288212418556, 
                   .99952530860901, 
                   1.0487948656082, 
                   .72968405485153, 
                    1.319433093071, 
                   1.1614154577255, 
                    -.126842841506, 
                   .55106240510941, 
                   .75534957647324, 
                   .03535716608167, 
                   .67995470762253, 
                  -.02233435213566, 
                    -.775306224823, 
                  -.93925392627716, 
                   1.0932129621506, 
                  -1.3366253376007, 
                  -1.4984313249588, 
                  -.20806217193604, 
                  -.35004270076752, 
                  -.28375649452209, 
                   .03291719779372, 
                  -.13478049635887, 
                  -.48574689030647, 
                  -.16250413656235, 
                  -.61117708683014, 
                   .24515150487423, 
                  -.55535387992859, 
                  -.23279193043709, 
                   .32596263289452, 
                  -2.4220454692841, 
                   .39444333314896, 
                  -.32336190342903, 
                    .3579084277153, 
                   .28136301040649, 
                   .06810333579779, 
                   .20511920750141, 
                  -.04392115399241, 
                    .2121440321207, 
                   .23799060285091, 
                   .30830511450768, 
                   .16217225790024, 
                   .77567237615585, 
                   .06947190314531, 
                  -.29256621003151, 
                    1.012699007988, 
                  -.05995841696858, 
                   .36664715409279, 
                   1.5415141582489, 
                  -.45958289504051, 
                  -.90094763040543, 
                  -.01580573618412, 
                  -.29488867521286, 
                  -.10631188750267, 
                  -.13327611982822, 
                  -.11324090510607, 
                  -.00495810527354, 
                  -.12605135142803, 
                  -.18752062320709, 
                  -.45478835701942, 
                   .04802301898599, 
                  -.45948752760887, 
                   -.1069987937808, 
                   .13247023522854, 
                  -.12992236018181, 
                    .0379159450531, 
                   .20006743073463, 
                  -.35354685783386, 
                  -.10270062834024, 
                   .15713113546371, 
                   .28798860311508, 
                  -.26841807365417, 
                   .17411996424198, 
                   .06576746702194, 
                  -.61839586496353, 
                  -.41313683986664, 
                   .18844394385815, 
                  -.55403280258179, 
                   -.6435934305191, 
                   .24241572618484, 
                  -.26401495933533, 
                  -.03226193040609, 
                   .32402887940407, 
                   -.1823958158493, 
                   .54083228111267, 
                   .13657745718956, 
                   .60556417703629, 
                   .64669179916382, 
                  -.02880969829857, 
                   .61310833692551, 
                  -.48195922374725, 
                  -.00673185009509, 
                  -.90286934375763, 
                  -.72449362277985, 
                   .81510883569717, 
                  -.48502343893051, 
                   .33246004581451, 
                   .33071464300156, 
                  -.50302714109421, 
                   -.3791960477829, 
                   .33548650145531, 
                   .35447460412979, 
                   .01399240642786, 
                     .682772397995, 
                     .474898904562, 
                  -.23161220550537, 
                   .93784213066101, 
                  -.49919214844704, 
                   3.4479112625122, 
                   -2.020316362381, 
                   .41167178750038, 
                   .57102704048157, 
                  -2.3206453323364, 
                   .98880618810654, 
                    .8800373673439, 
                  -.11700607091188, 
                   .47710022330284, 
                   1.8731729984283, 
                  -.46784225106239, 
                   3.1723618507385, 
                  -4.2380332946777, 
                  -5.2703905105591, 
                   .70423555374146, 
                   .70803683996201, 
                    .7517546415329])

yr = np.array([np.nan, 
                .17000007629395, 
                .14895272254944, 
               -.04663083329797, 
                .14835388958454, 
                 -.067387573421, 
                .17393657565117, 
               -.00391817837954, 
               -.08710660785437, 
                .07916691154242, 
               -.01320043392479, 
                .00712300790474, 
                .11223520338535, 
               -.08105963468552, 
                .11706246435642, 
               -.03576298803091, 
                -.0206862706691, 
                .14842723309994, 
               -.05172633752227, 
                .12472246587276, 
                 -.104436814785, 
                .01346892025322, 
                .01794487424195, 
                .07518746703863, 
               -.00436318712309, 
                .11243218928576, 
               -.05320516973734, 
                .14633287489414, 
                .26020830869675, 
               -.02025525644422, 
                .26937630772591, 
               -.16803389787674, 
                .08919904381037, 
                .12725540995598, 
                .10623299330473, 
                 .1995185315609, 
                .05965411290526, 
                .28216546773911, 
                .10719951242208, 
                .13195945322514, 
                .31321388483047, 
                .14348678290844, 
                .16340629756451, 
                .24240159988403, 
                .20104511082172, 
               -.01131687406451, 
                .13354018330574, 
                .09008505195379, 
               -.21024852991104, 
                 .1734229773283, 
               -.12312019616365, 
               -.04933403432369, 
               -.05912613496184, 
               -.05077522993088, 
                .05298588424921, 
                .12635681033134, 
                .59829473495483, 
               -.06070650368929, 
                .98084276914597, 
                .46521919965744, 
                .62251031398773, 
                .42553821206093, 
                .92174476385117, 
                .32413294911385, 
               -.18692423403263, 
                .23767517507076, 
                .02623280882835, 
                .06718628853559, 
               -.54783964157104, 
                .23576405644417, 
                .05095916613936, 
               -.01613672077656, 
                .49966445565224, 
                -.1578253954649, 
               -.00624855514616, 
                .26373836398125, 
                .28126338124275, 
                .64869183301926, 
                .50607579946518, 
                .28288212418556, 
                .99952530860901, 
                1.0487948656082, 
                .72968405485153, 
                 1.319433093071, 
                1.1614154577255, 
                 -.126842841506, 
                .55106240510941, 
                .75534957647324, 
                .03535716608167, 
                .67995470762253, 
               -.02233435213566, 
                 -.775306224823, 
               -.93925392627716, 
                1.0932129621506, 
               -1.3366253376007, 
               -1.4984313249588, 
               -.20806217193604, 
               -.35004270076752, 
               -.28375649452209, 
                .03291719779372, 
               -.13478049635887, 
               -.48574689030647, 
               -.16250413656235, 
               -.61117708683014, 
                .24515150487423, 
               -.55535387992859, 
               -.23279193043709, 
                .32596263289452, 
               -2.4220454692841, 
                .39444333314896, 
               -.32336190342903, 
                 .3579084277153, 
                .28136301040649, 
                .06810333579779, 
                .20511920750141, 
               -.04392115399241, 
                 .2121440321207, 
                .23799060285091, 
                .30830511450768, 
                .16217225790024, 
                .77567237615585, 
                .06947190314531, 
               -.29256621003151, 
                 1.012699007988, 
               -.05995841696858, 
                .36664715409279, 
                1.5415141582489, 
               -.45958289504051, 
               -.90094763040543, 
               -.01580573618412, 
               -.29488867521286, 
               -.10631188750267, 
               -.13327611982822, 
               -.11324090510607, 
               -.00495810527354, 
               -.12605135142803, 
               -.18752062320709, 
               -.45478835701942, 
                .04802301898599, 
               -.45948752760887, 
                -.1069987937808, 
                .13247023522854, 
               -.12992236018181, 
                 .0379159450531, 
                .20006743073463, 
               -.35354685783386, 
               -.10270062834024, 
                .15713113546371, 
                .28798860311508, 
               -.26841807365417, 
                .17411996424198, 
                .06576746702194, 
               -.61839586496353, 
               -.41313683986664, 
                .18844394385815, 
               -.55403280258179, 
                -.6435934305191, 
                .24241572618484, 
               -.26401495933533, 
               -.03226193040609, 
                .32402887940407, 
                -.1823958158493, 
                .54083228111267, 
                .13657745718956, 
                .60556417703629, 
                .64669179916382, 
               -.02880969829857, 
                .61310833692551, 
               -.48195922374725, 
               -.00673185009509, 
               -.90286934375763, 
               -.72449362277985, 
                .81510883569717, 
               -.48502343893051, 
                .33246004581451, 
                .33071464300156, 
               -.50302714109421, 
                -.3791960477829, 
                .33548650145531, 
                .35447460412979, 
                .01399240642786, 
                  .682772397995, 
                  .474898904562, 
               -.23161220550537, 
                .93784213066101, 
               -.49919214844704, 
                3.4479112625122, 
                -2.020316362381, 
                .41167178750038, 
                .57102704048157, 
               -2.3206453323364, 
                .98880618810654, 
                 .8800373673439, 
               -.11700607091188, 
                .47710022330284, 
                1.8731729984283, 
               -.46784225106239, 
                3.1723618507385, 
               -4.2380332946777, 
               -5.2703905105591, 
                .70423555374146, 
                .70803683996201, 
                 .7517546415329])

mse = np.array([ .95459979772568, 
                 .71522510051727, 
                 .63122135400772, 
                  .6314896941185, 
                 .63029319047928, 
                 .63014930486679, 
                 .62988424301147, 
                 .62969470024109, 
                 .62953060865402, 
                  .6293950676918, 
                 .62928181886673, 
                 .62918740510941, 
                 .62910866737366, 
                 .62904292345047, 
                 .62898802757263, 
                  .6289421916008, 
                 .62890386581421, 
                 .62887191772461, 
                 .62884521484375, 
                  .6288229227066, 
                 .62880426645279, 
                  .6287887096405, 
                  .6287756562233, 
                 .62876480817795, 
                 .62875574827194, 
                 .62874811887741, 
                 .62874180078506, 
                 .62873649597168, 
                 .62873202562332, 
                 .62872833013535, 
                 .62872523069382, 
                 .62872266769409, 
                 .62872052192688, 
                 .62871867418289, 
                 .62871718406677, 
                 .62871593236923, 
                 .62871485948563, 
                 .62871396541595, 
                 .62871325016022, 
                 .62871265411377, 
                 .62871211767197, 
                 .62871170043945, 
                 .62871134281158, 
                 .62871104478836, 
                 .62871074676514, 
                  .6287105679512, 
                 .62871038913727, 
                 .62871026992798, 
                 .62871015071869, 
                  .6287100315094, 
                 .62870991230011, 
                 .62870985269547, 
                 .62870979309082, 
                 .62870973348618, 
                 .62870973348618, 
                 .62870967388153, 
                 .62870967388153, 
                 .62870961427689, 
                 .62870961427689, 
                 .62870955467224, 
                 .62870955467224, 
                 .62870955467224, 
                 .62870955467224, 
                 .62870955467224, 
                 .62870955467224, 
                 .62870955467224, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676, 
                  .6287094950676])

stdp = np.array([               0, 
                                0, 
                  .05104803293943, 
                  .06663129478693, 
                  .02164618112147, 
                   .0773858949542, 
                  .02606418170035, 
                  .09391833096743, 
                  .05710592120886, 
                  .03083370067179, 
                  .07319989800453, 
                  .05287836492062, 
                  .05776296555996, 
                  .09105986356735, 
                  .04293738678098, 
                  .09576436132193, 
                  .06068528071046, 
                  .06157376244664, 
                  .11172580718994, 
                  .06527806818485, 
                  .11443704366684, 
                  .05653077363968, 
                  .08205550909042, 
                  .08481238037348, 
                  .10436166077852, 
                   .0875685736537, 
                  .12320486456156, 
                  .08366665989161, 
                  .13979130983353, 
                   .1902572363615, 
                   .1306214183569, 
                  .21803694963455, 
                  .11079790443182, 
                  .17274764180183, 
                   .1937662512064, 
                  .20047917962074, 
                  .24034893512726, 
                  .21783453226089, 
                  .29279819130898, 
                  .26804205775261, 
                  .28678458929062, 
                  .35651323199272, 
                  .33659368753433, 
                  .35760068893433, 
                  .39895334839821, 
                  .41131839156151, 
                  .36645981669426, 
                  .40991494059563, 
                  .41024547815323, 
                  .32657703757286, 
                  .42312324047089, 
                  .34933325648308, 
                  .35912537574768, 
                  .35077446699142, 
                  .34701564908028, 
                  .37364318966866, 
                  .40170526504517, 
                  .56070649623871, 
                  .41915491223335, 
                  .73478156328201, 
                  .67748892307281, 
                   .7744625210762, 
                  .77825599908829, 
                  .97586625814438, 
                  .88692498207092, 
                  .76232481002808, 
                  .87376874685287, 
                  .83281141519547, 
                  .84783887863159, 
                  .66423743963242, 
                  .84904235601425, 
                  .81613594293594, 
                  .80033475160599, 
                  .95782464742661, 
                  .80624777078629, 
                  .83626395463943, 
                  .91873735189438, 
                  .95130664110184, 
                  1.0939226150513, 
                  1.1171194314957, 
                  1.1004731655121, 
                  1.3512066602707, 
                  1.4703129529953, 
                  1.4805699586868, 
                  1.7385860681534, 
                  1.8268398046494, 
                  1.5489361286163, 
                  1.7446503639221, 
                   1.864644408226, 
                  1.7200467586517, 
                  1.9223358631134, 
                   1.775306224823, 
                  1.5392524003983, 
                  1.4067870378494, 
                  1.9366238117218, 
                  1.2984343767166, 
                  1.1080636978149, 
                  1.3500427007675, 
                  1.2837564945221, 
                  1.2670782804489, 
                  1.3347851037979, 
                  1.2857422828674, 
                  1.1625040769577, 
                  1.2111755609512, 
                  1.0548515319824, 
                  1.2553508281708, 
                  1.0327949523926, 
                  1.0740388631821, 
                   1.222040772438, 
                  .40555971860886, 
                  1.0233588218689, 
                  .84209614992142, 
                  1.0186324119568, 
                  1.0319027900696, 
                  .99487775564194, 
                  1.0439211130142, 
                  .98785293102264, 
                  1.0620124340057, 
                  1.0916963815689, 
                  1.1378232240677, 
                  1.1243290901184, 
                  1.3305295705795, 
                  1.1925677061081, 
                  1.0872994661331, 
                  1.4599523544312, 
                  1.2333589792252, 
                  1.3584797382355, 
                  1.7595859766006, 
                  1.3009568452835, 
                  1.1157965660095, 
                  1.2948887348175, 
                  1.2063180208206, 
                  1.2332669496536, 
                  1.2132470607758, 
                  1.2049551010132, 
                  1.2260574102402, 
                  1.1875206232071, 
                  1.1547852754593, 
                  1.0519831180573, 
                  1.1594845056534, 
                  1.0069926977158, 
                  1.0675266981125, 
                  1.1299223899841, 
                  1.0620901584625, 
                  1.0999356508255, 
                  1.1535499095917, 
                  1.0026944875717, 
                  1.0428657531738, 
                  1.1120204925537, 
                  1.1684119701385, 
                  1.0258769989014, 
                  1.1342295408249, 
                  1.1183958053589, 
                  .91313683986664, 
                  .91156214475632, 
                  1.0540328025818, 
                  .84359037876129, 
                  .75758427381516, 
                  .96401190757751, 
                  .83226495981216, 
                   .8759680390358, 
                  .98239886760712, 
                  .85917687416077, 
                  1.0634194612503, 
                  .99442666769028, 
                   1.153311252594, 
                  1.2288066148758, 
                  1.0869039297104, 
                   1.281947016716, 
                  1.0067318677902, 
                  1.1028815507889, 
                  .82448446750641, 
                  .78489726781845, 
                  1.1850204467773, 
                  .86753690242767, 
                  1.0692945718765, 
                  1.1030179262161, 
                   .8791960477829, 
                  .86451041698456, 
                  1.0455346107483, 
                   1.085998415947, 
                  1.0172398090363, 
                  1.2250980138779, 
                  1.2316122055054, 
                   1.062157869339, 
                  1.3991860151291, 
                  1.0520887374878, 
                  2.2203133106232, 
                  .88833123445511, 
                  1.4289729595184, 
                  1.5206423997879, 
                  .68520504236221, 
                  1.4659557342529, 
                  1.5350053310394, 
                  1.3178979158401, 
                  1.4888265132904, 
                  1.9698411226273, 
                  1.4406447410583, 
                   2.517040014267, 
                  .55537897348404, 
                 -.20722626149654, 
                  1.0899519920349, 
                   1.164245724678])

icstats = np.array([             202, 
                    np.nan, 
                    -239.75290561974, 
                                   4, 
                     487.50581123949, 
                     500.73888202909])

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, )

