import numpy as np

llf = np.array([-242.89663276735])

nobs = np.array([             202])

k = np.array([               3])

k_exog = np.array([               1])

sigma = np.array([  .8053519404535])

chi2 = np.array([ 15723.381396967])

df_model = np.array([               2])

k_ar = np.array([               1])

k_ma = np.array([               1])

params = np.array([ .99479180506163, 
                   -.84461527652809, 
                    .64859174799221])

cov_params = np.array([ .00008904968254, 
                       -.00023560410507, 
                        .00012795903324, 
                       -.00023560410507, 
                        .00131628534915, 
                       -.00022462340695, 
                        .00012795903324, 
                       -.00022462340695, 
                         .0005651128627]).reshape(3,3)

xb = np.array([               0, 
                              0, 
                .02869686298072, 
                .05651443824172, 
                 .0503994859755, 
                .06887971609831, 
                .05940540507436, 
                .08067328482866, 
                .08167565613985, 
                .06429278105497, 
                .07087650150061, 
                .06886467337608, 
                .06716959923506, 
                .08230647444725, 
                .07099691033363, 
                .08401278406382, 
                .07996553182602, 
                .07354256510735, 
                .09366323798895, 
                .08811800926924, 
                .10296355187893, 
                .08846370875835, 
                 .0852297320962, 
                .08700425922871, 
                .09751411527395, 
                .09737934917212, 
                .11228405684233, 
                 .1053489819169, 
                .12352022528648, 
                .16439816355705, 
                 .1643835157156, 
                .19891132414341, 
                .17551273107529, 
                .17827558517456, 
                .19562774896622, 
                .21028305590153, 
                .23767858743668, 
                .24580039083958, 
                .28269505500793, 
                .29883882403374, 
                .31247469782829, 
                .35402658581734, 
                .37410452961922, 
                .39106267690659, 
                .42040377855301, 
                .44518512487411, 
                .43608102202415, 
                .44340893626213, 
                .44959822297096, 
                .40977239608765, 
                .42118826508522, 
                .40079545974731, 
                .38357082009315, 
                .36902260780334, 
                .35673499107361, 
                .36137464642525, 
                .38031083345413, 
                .47139286994934, 
                .47323387861252, 
                .60994738340378, 
                .69538277387619, 
                 .7825602889061, 
                .84117436408997, 
                 .9657689332962, 
                1.0109325647354, 
                .95897275209427, 
                .96013957262039, 
                 .9461076259613, 
                 .9342554807663, 
                .83413934707642, 
                .83968591690063, 
                .84437066316605, 
                .83330947160721, 
                 .8990553021431, 
                .87949693202972, 
                .86297762393951, 
                .89407861232758, 
                .93536442518234, 
                1.0303052663803, 
                1.1104937791824, 
                1.1481873989105, 
                1.2851470708847, 
                1.4458787441254, 
                1.5515991449356, 
                1.7309991121292, 
                1.8975404500961, 
                1.8579913377762, 
                1.8846583366394, 
                1.9672524929047, 
                1.9469071626663, 
                2.0048115253448, 
                1.9786299467087, 
                1.8213576078415, 
                1.6284521818161, 
                1.7508568763733, 
                1.5689061880112, 
                1.2950873374939, 
                1.2290096282959, 
                1.1882168054581, 
                1.1537625789642, 
                1.1697143316269, 
                1.1681711673737, 
                 1.106795668602, 
                1.0849931240082, 
                 1.006507396698, 
                1.0453414916992, 
                .98803448677063, 
                .95465070009232, 
                1.0165599584579, 
                .67838954925537, 
                .69311982393265, 
                .69054269790649, 
                .76345545053482, 
                .84005492925644, 
                .87471830844879, 
                .91901183128357, 
                .92638796567917, 
                .96265280246735, 
                1.0083012580872, 
                1.0618740320206, 
                1.0921038389206, 
                1.2077431678772, 
                1.2303256988525, 
                 1.174311041832, 
                1.3072115182877, 
                 1.314337015152, 
                1.3503924608231, 
                1.5760731697083, 
                1.5264053344727, 
                  1.34929728508, 
                 1.304829955101, 
                1.2522557973862, 
                 1.222869515419, 
                 1.198047041893, 
                1.1770839691162, 
                1.1743944883347, 
                1.1571066379547, 
                1.1274864673615, 
                1.0574153661728, 
                 1.058304309845, 
                .99898308515549, 
                 .9789143204689, 
                1.0070173740387, 
                 1.000718832016, 
                1.0104174613953, 
                1.0486439466476, 
                1.0058424472809, 
                .98470783233643, 
                1.0119106769562, 
                1.0649236440659, 
                1.0346088409424, 
                1.0540577173233, 
                1.0704846382141, 
                .97923594713211, 
                .90216588973999, 
                 .9271782040596, 
                .85819715261459, 
                .75488126277924, 
                .78776079416275, 
                .77047789096832, 
                .77089905738831, 
                 .8313245177269, 
                .82229107618332, 
                .90476810932159, 
                .94439232349396, 
                1.0379292964935, 
                1.1469690799713, 
                1.1489590406418, 
                1.2257302999496, 
                1.1554099321365, 
                1.1260533332825, 
                 .9811190366745, 
                 .8436843752861, 
                .95287209749222, 
                .90993344783783, 
                .94875508546829, 
                1.0115815401077, 
                .94450175762177, 
                .87282890081406, 
                .91741597652435, 
                .98511207103729, 
                 .9972335100174, 
                1.0975805521011, 
                1.1823329925537, 
                1.1487929821014, 
                 1.270641207695, 
                1.2083609104156, 
                 1.696394443512, 
                1.4628355503082, 
                1.4307631254196, 
                1.5087975263596, 
                1.1542117595673, 
                1.2262620925903, 
                1.3880327939987, 
                1.3853038549423, 
                1.4396153688431, 
                1.7208145856857, 
                 1.678991317749, 
                 2.110867023468, 
                 1.524417757988, 
                .57946246862411, 
                .56406193971634, 
                .74643105268478])

y = np.array([np.nan, 
               28.979999542236, 
               29.178695678711, 
                29.40651512146, 
               29.420400619507, 
               29.608880996704, 
               29.609405517578, 
               29.830673217773, 
               29.921676635742, 
               29.874292373657, 
               29.990877151489, 
               30.048864364624, 
                30.10717010498, 
               30.292304992676, 
               30.290996551514, 
               30.464012145996, 
               30.519966125488, 
               30.553541183472, 
               30.783664703369, 
               30.838117599487, 
               31.042964935303, 
               31.038463592529, 
               31.105230331421, 
               31.207004547119, 
               31.377513885498, 
               31.477378845215, 
               31.692283630371, 
               31.755348205566, 
               32.003520965576, 
               32.444396972656, 
                32.61438369751, 
               33.048908233643, 
                33.07551574707, 
               33.278274536133, 
               33.595630645752, 
                33.91028213501, 
               34.337677001953, 
               34.645801544189, 
               35.182697296143, 
               35.598838806152, 
               36.012474060059, 
               36.654026031494, 
               37.174102783203, 
               37.691062927246, 
               38.320404052734, 
                38.94518661499, 
               39.336082458496, 
               39.843410491943, 
               40.349597930908, 
               40.509769439697, 
               41.021186828613, 
               41.300796508789, 
               41.583572387695, 
               41.869022369385, 
               42.156734466553, 
               42.561374664307, 
               43.080310821533, 
               44.171394348145, 
               44.673233032227, 
               46.209945678711, 
               47.495380401611, 
               48.882556915283, 
               50.141174316406, 
               51.965770721436, 
               53.310932159424, 
               53.958972930908, 
               54.960140228271, 
                55.84610748291, 
               56.734252929688, 
               56.934139251709, 
               57.839687347412, 
               58.744373321533, 
               59.533309936523, 
               60.899055480957, 
               61.679496765137, 
                62.46297454834, 
               63.594078063965, 
                64.83536529541, 
               66.530303955078, 
               68.210494995117, 
                69.64818572998, 
               71.885147094727, 
               74.445877075195, 
               76.751594543457, 
               79.731002807617, 
               82.797538757324, 
               84.457992553711, 
               86.584655761719, 
               89.167251586914, 
               91.046905517578, 
               93.504814147949, 
               95.378631591797, 
                96.22135925293, 
               96.628448486328, 
               99.250854492188, 
               99.668907165527, 
               99.195091247559, 
                100.0290145874, 
               100.98822021484, 
               101.95376586914, 
               103.26971435547, 
               104.46817779541, 
               105.20679473877, 
                106.1849899292, 
               106.70650482178, 
                108.0453414917, 
               108.68803405762, 
               109.45465087891, 
               110.91656494141, 
               109.37838745117, 
               110.19312286377, 
               110.89054107666, 
               112.16345977783, 
               113.54005432129, 
               114.67472076416, 
               115.91901397705, 
               116.92639160156, 
               118.16265106201, 
               119.50830078125, 
               120.96187591553, 
               122.29209899902, 
               124.30773925781, 
                125.7303237915, 
               126.57431030273, 
                128.8072052002, 
               130.21432495117, 
               131.85038757324, 
               134.97607421875, 
               136.22640991211, 
               136.44931030273, 
               137.50482177734, 
               138.45225524902, 
                139.5228729248, 
               140.59803771973, 
               141.67707824707, 
               142.87438964844, 
               143.95710754395, 
               144.92749023438, 
               145.55741882324, 
               146.65830993652, 
               147.29898071289, 
               148.17890930176, 
               149.40701293945, 
               150.40071105957, 
               151.51042175293, 
               152.84864807129, 
               153.60585021973, 
               154.48471069336, 
                155.7119140625, 
               157.16493225098, 
               158.03460693359, 
               159.25405883789, 
               160.47047424316, 
               160.87922668457, 
               161.30215454102, 
               162.42718505859, 
               162.85820007324, 
               162.95487976074, 
               163.98776245117, 
               164.67047119141, 
               165.47090148926, 
               166.73132324219, 
               167.52229309082, 
               169.00477600098, 
               170.24440002441, 
               171.93792724609, 
               173.84696960449, 
               175.04895019531, 
               176.82572937012, 
               177.55540466309, 
               178.52604675293, 
               178.58113098145, 
               178.54368591309, 
               180.25286865234, 
               180.90992736816, 
               182.14875793457, 
               183.61158752441, 
               184.14450073242, 
                184.5728302002, 
               185.81741333008, 
               187.28511047363, 
               188.39723205566, 
               190.19758605957, 
               191.98233032227, 
               192.94879150391, 
               195.07064819336, 
               195.90835571289, 
               200.89639282227, 
               200.86282348633, 
               202.13075256348, 
               204.20880126953, 
               203.05419921875, 
               204.80026245117, 
                207.3080291748, 
               208.72329711914, 
               210.57261657715, 
               214.21580505371, 
               215.67597961426, 
               220.72087097168, 
               218.41342163086, 
               212.75346374512, 
               213.23506164551, 
               215.21542358398])

resid = np.array([np.nan, 
                   .17000007629395, 
                   .17130389809608, 
                  -.03651398047805, 
                   .11960058659315, 
                  -.05888139456511, 
                   .14059536159039, 
                   .00932686589658, 
                  -.11167634278536, 
                   .04570783302188, 
                   -.0108770346269, 
                  -.00886330008507, 
                   .10282856971025, 
                  -.07230624556541, 
                   .08900293707848, 
                   -.0240114107728, 
                  -.03996651992202, 
                   .13645842671394, 
                  -.03366377204657, 
                   .10188252478838, 
                  -.09296332299709, 
                  -.01846401393414, 
                   .01477065030485, 
                    .0729955881834, 
                   .00248436117545, 
                   .10262141376734, 
                  -.04228436201811, 
                   .12465056031942, 
                   .27647939324379, 
                   .00560382334515, 
                   .23561419546604, 
                   -.1489082723856, 
                   .02448422275484, 
                   .12172746658325, 
                   .10437148809433, 
                   .18971465528011, 
                   .06232447177172, 
                   .25419962406158, 
                   .11730266362429, 
                   .10116269439459, 
                    .2875237762928, 
                   .14597341418266, 
                   .12589547038078, 
                   .20893961191177, 
                   .17959471046925, 
                  -.04518361017108, 
                   .06391899287701, 
                   .05659105628729, 
                  -.24960128962994, 
                   .09022761881351, 
                  -.12118522822857, 
                  -.10079623758793, 
                  -.08357158303261, 
                  -.06902338564396, 
                   .04326653853059, 
                   .13862533867359, 
                   .61968916654587, 
                   .02860714122653, 
                   .92676383256912, 
                   .59005337953568, 
                   .60461646318436, 
                   .41744044423103, 
                   .85882639884949, 
                   .33423033356667, 
                  -.31093180179596, 
                   .04102724045515, 
                  -.06013804674149, 
                  -.04610994458199, 
                  -.63425624370575, 
                   .06586220860481, 
                   .06031560897827, 
                  -.04437142238021, 
                   .46668976545334, 
                  -.09905604273081, 
                  -.07949769496918, 
                   .23702463507652, 
                   .30592212080956, 
                   .66463404893875, 
                   .56969320774078, 
                   .28950771689415, 
                   .95181107521057, 
                   1.1148544549942, 
                   .75411820411682, 
                   1.2484039068222, 
                   1.1690024137497, 
                   -.1975435167551, 
                   .24200716614723, 
                    .6153416633606, 
                  -.06725100427866, 
                   .45309436321259, 
                  -.10480991750956, 
                  -.97863000631332, 
                  -1.2213591337204, 
                    .8715478181839, 
                  -1.1508584022522, 
                  -1.7689031362534, 
                  -.39508575201035, 
                  -.22900961339474, 
                  -.18821682035923, 
                   .14623281359673, 
                   .03029025532305, 
                  -.36817568540573, 
                  -.10679569840431, 
                  -.48499462008476, 
                   .29349562525749, 
                  -.34534454345703, 
                  -.18803144991398, 
                   .44535079598427, 
                  -2.2165644168854, 
                   .12161350995302, 
                   .00687709869817, 
                   .50946187973022, 
                   .53653997182846, 
                   .25995117425919, 
                   .32527860999107, 
                   .08098815381527, 
                   .27360898256302, 
                   .33735024929047, 
                   .39170032739639, 
                   .23812144994736, 
                   .80789774656296, 
                   .19225835800171, 
                  -.33032417297363, 
                   .92568749189377, 
                   .09278241544962, 
                   .28566908836365, 
                   1.5496014356613, 
                  -.27607008814812, 
                  -1.1263961791992, 
                  -.24930645525455, 
                  -.30482992529869, 
                  -.15224970877171, 
                  -.12287864089012, 
                  -.09804095327854, 
                   .02291300706565, 
                  -.07438835501671, 
                  -.15710659325123, 
                  -.42748948931694, 
                   .04259072244167, 
                  -.35830733180046, 
                  -.09898918122053, 
                   .22108262777328, 
                  -.00701736938208, 
                    .0992873236537, 
                   .28958559036255, 
                  -.24864092469215, 
                  -.10584850609303, 
                   .21528913080692, 
                   .38809850811958, 
                  -.16492980718613, 
                   .16538816690445, 
                    .1459391862154, 
                  -.57048463821411, 
                  -.47923597693443, 
                   .19784018397331, 
                   -.4271782040596, 
                  -.65820020437241, 
                   .24511873722076, 
                   -.0877638310194, 
                   .02952514961362, 
                   .42909786105156, 
                  -.03132146969438, 
                   .57771807909012, 
                   .29522883892059, 
                    .6555985212326, 
                   .76207375526428, 
                   .05302781611681, 
                   .55105316638947, 
                  -.42574247717857, 
                  -.15540990233421, 
                  -.92604118585587, 
                  -.88112819194794, 
                   .75632172822952, 
                  -.25287514925003, 
                   .29006350040436, 
                   .45125409960747, 
                  -.41159069538116, 
                  -.44450175762177, 
                   .32716807723045, 
                   .48259317874908, 
                   .11487878113985, 
                   .70277869701385, 
                   .60241633653641, 
                  -.18233296275139, 
                   .85120695829391, 
                  -.37064728140831, 
                   3.2916390895844, 
                  -1.4963974952698, 
                  -.16283248364925, 
                   .56923681497574, 
                  -2.3088004589081, 
                   .51979947090149, 
                   1.1197309494019, 
                   .02996650896966, 
                   .40969428420067, 
                   1.9223841428757, 
                  -.21881568431854, 
                   2.9340152740479, 
                  -3.8318600654602, 
                   -6.239429473877, 
                  -.08245316892862, 
                   1.2339268922806, 
                   1.1695692539215])

yr = np.array([np.nan, 
                .17000007629395, 
                .17130389809608, 
               -.03651398047805, 
                .11960058659315, 
               -.05888139456511, 
                .14059536159039, 
                .00932686589658, 
               -.11167634278536, 
                .04570783302188, 
                -.0108770346269, 
               -.00886330008507, 
                .10282856971025, 
               -.07230624556541, 
                .08900293707848, 
                -.0240114107728, 
               -.03996651992202, 
                .13645842671394, 
               -.03366377204657, 
                .10188252478838, 
               -.09296332299709, 
               -.01846401393414, 
                .01477065030485, 
                 .0729955881834, 
                .00248436117545, 
                .10262141376734, 
               -.04228436201811, 
                .12465056031942, 
                .27647939324379, 
                .00560382334515, 
                .23561419546604, 
                -.1489082723856, 
                .02448422275484, 
                .12172746658325, 
                .10437148809433, 
                .18971465528011, 
                .06232447177172, 
                .25419962406158, 
                .11730266362429, 
                .10116269439459, 
                 .2875237762928, 
                .14597341418266, 
                .12589547038078, 
                .20893961191177, 
                .17959471046925, 
               -.04518361017108, 
                .06391899287701, 
                .05659105628729, 
               -.24960128962994, 
                .09022761881351, 
               -.12118522822857, 
               -.10079623758793, 
               -.08357158303261, 
               -.06902338564396, 
                .04326653853059, 
                .13862533867359, 
                .61968916654587, 
                .02860714122653, 
                .92676383256912, 
                .59005337953568, 
                .60461646318436, 
                .41744044423103, 
                .85882639884949, 
                .33423033356667, 
               -.31093180179596, 
                .04102724045515, 
               -.06013804674149, 
               -.04610994458199, 
               -.63425624370575, 
                .06586220860481, 
                .06031560897827, 
               -.04437142238021, 
                .46668976545334, 
               -.09905604273081, 
               -.07949769496918, 
                .23702463507652, 
                .30592212080956, 
                .66463404893875, 
                .56969320774078, 
                .28950771689415, 
                .95181107521057, 
                1.1148544549942, 
                .75411820411682, 
                1.2484039068222, 
                1.1690024137497, 
                -.1975435167551, 
                .24200716614723, 
                 .6153416633606, 
               -.06725100427866, 
                .45309436321259, 
               -.10480991750956, 
               -.97863000631332, 
               -1.2213591337204, 
                 .8715478181839, 
               -1.1508584022522, 
               -1.7689031362534, 
               -.39508575201035, 
               -.22900961339474, 
               -.18821682035923, 
                .14623281359673, 
                .03029025532305, 
               -.36817568540573, 
               -.10679569840431, 
               -.48499462008476, 
                .29349562525749, 
               -.34534454345703, 
               -.18803144991398, 
                .44535079598427, 
               -2.2165644168854, 
                .12161350995302, 
                .00687709869817, 
                .50946187973022, 
                .53653997182846, 
                .25995117425919, 
                .32527860999107, 
                .08098815381527, 
                .27360898256302, 
                .33735024929047, 
                .39170032739639, 
                .23812144994736, 
                .80789774656296, 
                .19225835800171, 
               -.33032417297363, 
                .92568749189377, 
                .09278241544962, 
                .28566908836365, 
                1.5496014356613, 
               -.27607008814812, 
               -1.1263961791992, 
               -.24930645525455, 
               -.30482992529869, 
               -.15224970877171, 
               -.12287864089012, 
               -.09804095327854, 
                .02291300706565, 
               -.07438835501671, 
               -.15710659325123, 
               -.42748948931694, 
                .04259072244167, 
               -.35830733180046, 
               -.09898918122053, 
                .22108262777328, 
               -.00701736938208, 
                 .0992873236537, 
                .28958559036255, 
               -.24864092469215, 
               -.10584850609303, 
                .21528913080692, 
                .38809850811958, 
               -.16492980718613, 
                .16538816690445, 
                 .1459391862154, 
               -.57048463821411, 
               -.47923597693443, 
                .19784018397331, 
                -.4271782040596, 
               -.65820020437241, 
                .24511873722076, 
                -.0877638310194, 
                .02952514961362, 
                .42909786105156, 
               -.03132146969438, 
                .57771807909012, 
                .29522883892059, 
                 .6555985212326, 
                .76207375526428, 
                .05302781611681, 
                .55105316638947, 
               -.42574247717857, 
               -.15540990233421, 
               -.92604118585587, 
               -.88112819194794, 
                .75632172822952, 
               -.25287514925003, 
                .29006350040436, 
                .45125409960747, 
               -.41159069538116, 
               -.44450175762177, 
                .32716807723045, 
                .48259317874908, 
                .11487878113985, 
                .70277869701385, 
                .60241633653641, 
               -.18233296275139, 
                .85120695829391, 
               -.37064728140831, 
                3.2916390895844, 
               -1.4963974952698, 
               -.16283248364925, 
                .56923681497574, 
               -2.3088004589081, 
                .51979947090149, 
                1.1197309494019, 
                .02996650896966, 
                .40969428420067, 
                1.9223841428757, 
               -.21881568431854, 
                2.9340152740479, 
               -3.8318600654602, 
                -6.239429473877, 
               -.08245316892862, 
                1.2339268922806, 
                1.1695692539215])

mse = np.array([ 1.1112809181213, 
                  .6632194519043, 
                 .65879660844803, 
                 .65575885772705, 
                 .65364873409271, 
                 .65217137336731, 
                 .65113133192062, 
                  .6503963470459, 
                 .64987552165985, 
                 .64950579404831, 
                 .64924287796021, 
                 .64905577898026, 
                 .64892256259918, 
                 .64882761240005, 
                 .64875996112823, 
                 .64871168136597, 
                 .64867728948593, 
                 .64865279197693, 
                 .64863526821136, 
                 .64862281084061, 
                 .64861387014389, 
                 .64860755205154, 
                 .64860302209854, 
                 .64859980344772, 
                 .64859747886658, 
                 .64859586954117, 
                 .64859467744827, 
                 .64859384298325, 
                  .6485932469368, 
                 .64859282970428, 
                 .64859253168106, 
                 .64859229326248, 
                 .64859211444855, 
                 .64859199523926, 
                 .64859193563461, 
                 .64859187602997, 
                 .64859187602997, 
                 .64859181642532, 
                 .64859181642532, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068, 
                 .64859175682068])

stdp = np.array([               0, 
                                0, 
                  .02869686298072, 
                  .05651443824172, 
                   .0503994859755, 
                  .06887971609831, 
                  .05940540507436, 
                  .08067328482866, 
                  .08167565613985, 
                  .06429278105497, 
                  .07087650150061, 
                  .06886467337608, 
                  .06716959923506, 
                  .08230647444725, 
                  .07099691033363, 
                  .08401278406382, 
                  .07996553182602, 
                  .07354256510735, 
                  .09366323798895, 
                  .08811800926924, 
                  .10296355187893, 
                  .08846370875835, 
                   .0852297320962, 
                  .08700425922871, 
                  .09751411527395, 
                  .09737934917212, 
                  .11228405684233, 
                   .1053489819169, 
                  .12352022528648, 
                  .16439816355705, 
                   .1643835157156, 
                  .19891132414341, 
                  .17551273107529, 
                  .17827558517456, 
                  .19562774896622, 
                  .21028305590153, 
                  .23767858743668, 
                  .24580039083958, 
                  .28269505500793, 
                  .29883882403374, 
                  .31247469782829, 
                  .35402658581734, 
                  .37410452961922, 
                  .39106267690659, 
                  .42040377855301, 
                  .44518512487411, 
                  .43608102202415, 
                  .44340893626213, 
                  .44959822297096, 
                  .40977239608765, 
                  .42118826508522, 
                  .40079545974731, 
                  .38357082009315, 
                  .36902260780334, 
                  .35673499107361, 
                  .36137464642525, 
                  .38031083345413, 
                  .47139286994934, 
                  .47323387861252, 
                  .60994738340378, 
                  .69538277387619, 
                   .7825602889061, 
                  .84117436408997, 
                   .9657689332962, 
                  1.0109325647354, 
                  .95897275209427, 
                  .96013957262039, 
                   .9461076259613, 
                   .9342554807663, 
                  .83413934707642, 
                  .83968591690063, 
                  .84437066316605, 
                  .83330947160721, 
                   .8990553021431, 
                  .87949693202972, 
                  .86297762393951, 
                  .89407861232758, 
                  .93536442518234, 
                  1.0303052663803, 
                  1.1104937791824, 
                  1.1481873989105, 
                  1.2851470708847, 
                  1.4458787441254, 
                  1.5515991449356, 
                  1.7309991121292, 
                  1.8975404500961, 
                  1.8579913377762, 
                  1.8846583366394, 
                  1.9672524929047, 
                  1.9469071626663, 
                  2.0048115253448, 
                  1.9786299467087, 
                  1.8213576078415, 
                  1.6284521818161, 
                  1.7508568763733, 
                  1.5689061880112, 
                  1.2950873374939, 
                  1.2290096282959, 
                  1.1882168054581, 
                  1.1537625789642, 
                  1.1697143316269, 
                  1.1681711673737, 
                   1.106795668602, 
                  1.0849931240082, 
                   1.006507396698, 
                  1.0453414916992, 
                  .98803448677063, 
                  .95465070009232, 
                  1.0165599584579, 
                  .67838954925537, 
                  .69311982393265, 
                  .69054269790649, 
                  .76345545053482, 
                  .84005492925644, 
                  .87471830844879, 
                  .91901183128357, 
                  .92638796567917, 
                  .96265280246735, 
                  1.0083012580872, 
                  1.0618740320206, 
                  1.0921038389206, 
                  1.2077431678772, 
                  1.2303256988525, 
                   1.174311041832, 
                  1.3072115182877, 
                   1.314337015152, 
                  1.3503924608231, 
                  1.5760731697083, 
                  1.5264053344727, 
                    1.34929728508, 
                   1.304829955101, 
                  1.2522557973862, 
                   1.222869515419, 
                   1.198047041893, 
                  1.1770839691162, 
                  1.1743944883347, 
                  1.1571066379547, 
                  1.1274864673615, 
                  1.0574153661728, 
                   1.058304309845, 
                  .99898308515549, 
                   .9789143204689, 
                  1.0070173740387, 
                   1.000718832016, 
                  1.0104174613953, 
                  1.0486439466476, 
                  1.0058424472809, 
                  .98470783233643, 
                  1.0119106769562, 
                  1.0649236440659, 
                  1.0346088409424, 
                  1.0540577173233, 
                  1.0704846382141, 
                  .97923594713211, 
                  .90216588973999, 
                   .9271782040596, 
                  .85819715261459, 
                  .75488126277924, 
                  .78776079416275, 
                  .77047789096832, 
                  .77089905738831, 
                   .8313245177269, 
                  .82229107618332, 
                  .90476810932159, 
                  .94439232349396, 
                  1.0379292964935, 
                  1.1469690799713, 
                  1.1489590406418, 
                  1.2257302999496, 
                  1.1554099321365, 
                  1.1260533332825, 
                   .9811190366745, 
                   .8436843752861, 
                  .95287209749222, 
                  .90993344783783, 
                  .94875508546829, 
                  1.0115815401077, 
                  .94450175762177, 
                  .87282890081406, 
                  .91741597652435, 
                  .98511207103729, 
                   .9972335100174, 
                  1.0975805521011, 
                  1.1823329925537, 
                  1.1487929821014, 
                   1.270641207695, 
                  1.2083609104156, 
                   1.696394443512, 
                  1.4628355503082, 
                  1.4307631254196, 
                  1.5087975263596, 
                  1.1542117595673, 
                  1.2262620925903, 
                  1.3880327939987, 
                  1.3853038549423, 
                  1.4396153688431, 
                  1.7208145856857, 
                   1.678991317749, 
                   2.110867023468, 
                   1.524417757988, 
                  .57946246862411, 
                  .56406193971634, 
                  .74643105268478])

icstats = np.array([             202, 
                    np.nan, 
                    -242.89663276735, 
                                   3, 
                     491.79326553469, 
                      501.7180686269])

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, )

