/statsmodels/tsa/tests/test_arima.py

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import numpy as np
from numpy.testing import (assert_almost_equal, assert_equal, assert_,
                           assert_raises, dec)
import statsmodels.sandbox.tsa.fftarma as fa
from statsmodels.tsa.descriptivestats import TsaDescriptive
from statsmodels.tsa.arma_mle import Arma
from statsmodels.tsa.arima_model import ARMA, ARIMA
from statsmodels.tsa.base.datetools import dates_from_range
from results import results_arma, results_arima
import os
from statsmodels.tsa.base import datetools
from statsmodels.tsa.arima_process import arma_generate_sample
import pandas
try:
    from statsmodels.tsa.kalmanf import kalman_loglike
    fast_kalman = 1
except:
    fast_kalman = 0
    #NOTE: the KF with complex input returns a different precision for
    # the hessian imaginary part, so we use approx_hess and the the
    # resulting stats are slightly different.

DECIMAL_4 = 4
DECIMAL_3 = 3
DECIMAL_2 = 2
DECIMAL_1 = 1

current_path = os.path.dirname(os.path.abspath(__file__))
y_arma = np.genfromtxt(open(current_path + '/results/y_arma_data.csv', "rb"),
        delimiter=",", skip_header=1, dtype=float)

cpi_dates = dates_from_range('1959Q1', '2009Q3')
cpi_predict_dates = dates_from_range('2009Q3', '2015Q4')
sun_dates = dates_from_range('1700', '2008')
sun_predict_dates = dates_from_range('2008', '2033')

try:
    from pandas import DatetimeIndex  # pylint: disable-msg=E0611
    cpi_dates = DatetimeIndex(cpi_dates, freq='infer')
    sun_dates = DatetimeIndex(sun_dates, freq='infer')
    cpi_predict_dates = DatetimeIndex(cpi_predict_dates, freq='infer')
    sun_predict_dates = DatetimeIndex(sun_predict_dates, freq='infer')
except ImportError:
    pass



def test_compare_arma():
    #this is a preliminary test to compare arma_kf, arma_cond_ls and arma_cond_mle
    #the results returned by the fit methods are incomplete
    #for now without random.seed

    np.random.seed(9876565)
    x = fa.ArmaFft([1, -0.5], [1., 0.4], 40).generate_sample(size=200,
            burnin=1000)

# this used kalman filter through descriptive
#    d = ARMA(x)
#    d.fit((1,1), trend='nc')
#    dres = d.res

    modkf = ARMA(x, (1,1))
    ##rkf = mkf.fit((1,1))
    ##rkf.params
    reskf = modkf.fit(trend='nc', disp=-1)
    dres = reskf

    modc = Arma(x)
    resls = modc.fit(order=(1,1))
    rescm = modc.fit_mle(order=(1,1), start_params=[0.4,0.4, 1.], disp=0)

    #decimal 1 corresponds to threshold of 5% difference
    #still different sign  corrcted
    #assert_almost_equal(np.abs(resls[0] / d.params), np.ones(d.params.shape), decimal=1)
    assert_almost_equal(resls[0] / dres.params, np.ones(dres.params.shape),
        decimal=1)
    #rescm also contains variance estimate as last element of params

    #assert_almost_equal(np.abs(rescm.params[:-1] / d.params), np.ones(d.params.shape), decimal=1)
    assert_almost_equal(rescm.params[:-1] / dres.params, np.ones(dres.params.shape), decimal=1)
    #return resls[0], d.params, rescm.params


class CheckArmaResultsMixin(object):
    """
    res2 are the results from gretl.  They are in results/results_arma.
    res1 are from statsmodels
    """
    decimal_params = DECIMAL_4
    def test_params(self):
        assert_almost_equal(self.res1.params, self.res2.params,
                self.decimal_params)

    decimal_aic = DECIMAL_4
    def test_aic(self):
        assert_almost_equal(self.res1.aic, self.res2.aic, self.decimal_aic)

    decimal_bic = DECIMAL_4
    def test_bic(self):
        assert_almost_equal(self.res1.bic, self.res2.bic, self.decimal_bic)

    decimal_arroots = DECIMAL_4
    def test_arroots(self):
        assert_almost_equal(self.res1.arroots, self.res2.arroots,
                    self.decimal_arroots)

    decimal_maroots = DECIMAL_4
    def test_maroots(self):
        assert_almost_equal(self.res1.maroots, self.res2.maroots,
                    self.decimal_maroots)

    decimal_bse = DECIMAL_2
    def test_bse(self):
        assert_almost_equal(self.res1.bse, self.res2.bse, self.decimal_bse)

    decimal_cov_params = DECIMAL_4
    def test_covparams(self):
        assert_almost_equal(self.res1.cov_params(), self.res2.cov_params,
                self.decimal_cov_params)

    decimal_hqic = DECIMAL_4
    def test_hqic(self):
        assert_almost_equal(self.res1.hqic, self.res2.hqic, self.decimal_hqic)

    decimal_llf = DECIMAL_4
    def test_llf(self):
        assert_almost_equal(self.res1.llf, self.res2.llf, self.decimal_llf)

    decimal_resid = DECIMAL_4
    def test_resid(self):
        assert_almost_equal(self.res1.resid, self.res2.resid,
                self.decimal_resid)

    decimal_fittedvalues = DECIMAL_4
    def test_fittedvalues(self):
        assert_almost_equal(self.res1.fittedvalues, self.res2.fittedvalues,
                self.decimal_fittedvalues)

    decimal_pvalues = DECIMAL_2
    def test_pvalues(self):
        assert_almost_equal(self.res1.pvalues, self.res2.pvalues,
                    self.decimal_pvalues)

    decimal_t = DECIMAL_2 # only 2 decimal places in gretl output
    def test_tvalues(self):
        assert_almost_equal(self.res1.tvalues, self.res2.tvalues,
                            self.decimal_t)

    decimal_sigma2 = DECIMAL_4
    def test_sigma2(self):
        assert_almost_equal(self.res1.sigma2, self.res2.sigma2,
                self.decimal_sigma2)

    def test_summary(self):
        # smoke tests
        table = self.res1.summary()

class CheckForecastMixin(object):
    decimal_forecast = DECIMAL_4
    def test_forecast(self):
        assert_almost_equal(self.res1.forecast_res, self.res2.forecast,
                self.decimal_forecast)

    decimal_forecasterr = DECIMAL_4
    def test_forecasterr(self):
        assert_almost_equal(self.res1.forecast_err, self.res2.forecasterr,
                self.decimal_forecasterr)

class CheckDynamicForecastMixin(object):
    decimal_forecast_dyn = 4
    def test_dynamic_forecast(self):
        assert_almost_equal(self.res1.forecast_res_dyn, self.res2.forecast_dyn,
                            self.decimal_forecast_dyn)

    #def test_forecasterr(self):
    #    assert_almost_equal(self.res1.forecast_err_dyn,
    #                        self.res2.forecasterr_dyn,
    #                        DECIMAL_4)


class CheckArimaResultsMixin(CheckArmaResultsMixin):
    def test_order(self):
        assert self.res1.k_diff == self.res2.k_diff
        assert self.res1.k_ar == self.res2.k_ar
        assert self.res1.k_ma == self.res2.k_ma

    decimal_predict_levels = DECIMAL_4
    def test_predict_levels(self):
        assert_almost_equal(self.res1.predict(typ='levels'), self.res2.linear,
                self.decimal_predict_levels)

#NOTE: Ok
class Test_Y_ARMA11_NoConst(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,0]
        cls.res1 = ARMA(endog, order=(1,1)).fit(trend='nc', disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma11()

    def test_pickle(self):
        from statsmodels.compatnp.py3k import BytesIO
        fh = BytesIO()
        #test wrapped results load save pickle
        self.res1.save(fh)
        fh.seek(0,0)
        res_unpickled = self.res1.__class__.load(fh)
        assert_(type(res_unpickled) is type(self.res1))

#NOTE: Ok
class Test_Y_ARMA14_NoConst(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,1]
        cls.res1 = ARMA(endog, order=(1,4)).fit(trend='nc', disp=-1)
        cls.res2 = results_arma.Y_arma14()

#NOTE: Ok
#can't use class decorators in 2.5....
#@dec.slow
class Test_Y_ARMA41_NoConst(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,2]
        cls.res1 = ARMA(endog, order=(4,1)).fit(trend='nc', disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma41()
        cls.decimal_maroots = DECIMAL_3

#NOTE: Ok
class Test_Y_ARMA22_NoConst(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,3]
        cls.res1 = ARMA(endog, order=(2,2)).fit(trend='nc', disp=-1)
        cls.res2 = results_arma.Y_arma22()

#NOTE: Ok
class Test_Y_ARMA50_NoConst(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,4]
        cls.res1 = ARMA(endog, order=(5,0)).fit(trend='nc', disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma50()

#NOTE: Ok
class Test_Y_ARMA02_NoConst(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,5]
        cls.res1 = ARMA(endog, order=(0,2)).fit(trend='nc', disp=-1)
        cls.res2 = results_arma.Y_arma02()

#NOTE: Ok
class Test_Y_ARMA11_Const(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,6]
        cls.res1 = ARMA(endog, order=(1,1)).fit(trend="c", disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma11c()

#NOTE: OK
class Test_Y_ARMA14_Const(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,7]
        cls.res1 = ARMA(endog, order=(1,4)).fit(trend="c", disp=-1)
        cls.res2 = results_arma.Y_arma14c()

#NOTE: Ok
#@dec.slow
class Test_Y_ARMA41_Const(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,8]
        cls.res1 = ARMA(endog, order=(4,1)).fit(trend="c", disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma41c()
        cls.decimal_cov_params = DECIMAL_3
        cls.decimal_fittedvalues = DECIMAL_3
        cls.decimal_resid = DECIMAL_3
        cls.decimal_params = DECIMAL_3
        if fast_kalman:
            cls.decimal_cov_params -= 2
            cls.decimal_bse -= 1

#NOTE: Ok
class Test_Y_ARMA22_Const(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,9]
        cls.res1 = ARMA(endog, order=(2,2)).fit(trend="c", disp=-1)
        cls.res2 = results_arma.Y_arma22c()

#NOTE: Ok
class Test_Y_ARMA50_Const(CheckArmaResultsMixin, CheckForecastMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,10]
        cls.res1 = ARMA(endog, order=(5,0)).fit(trend="c", disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma50c()

#NOTE: Ok
class Test_Y_ARMA02_Const(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,11]
        cls.res1 = ARMA(endog, order=(0,2)).fit(trend="c", disp=-1)
        cls.res2 = results_arma.Y_arma02c()

#NOTE:
# cov_params and tvalues are off still but not as much vs. R
class Test_Y_ARMA11_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,0]
        cls.res1 = ARMA(endog, order=(1,1)).fit(method="css", trend='nc',
                            disp=-1)
        cls.res2 = results_arma.Y_arma11("css")
        cls.decimal_t = DECIMAL_1

# better vs. R
class Test_Y_ARMA14_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,1]
        cls.res1 = ARMA(endog, order=(1,4)).fit(method="css", trend='nc',
                            disp=-1)
        cls.res2 = results_arma.Y_arma14("css")
        cls.decimal_fittedvalues = DECIMAL_3
        cls.decimal_resid = DECIMAL_3
        cls.decimal_t = DECIMAL_1

#NOTE: Ok
#NOTE:
# bse, etc. better vs. R
# maroot is off because maparams is off a bit (adjust tolerance?)
class Test_Y_ARMA41_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,2]
        cls.res1 = ARMA(endog, order=(4,1)).fit(method="css", trend='nc',
                        disp=-1)
        cls.res2 = results_arma.Y_arma41("css")
        cls.decimal_t = DECIMAL_1
        cls.decimal_pvalues = 0
        cls.decimal_cov_params = DECIMAL_3
        cls.decimal_maroots = DECIMAL_1

#NOTE: Ok
#same notes as above
class Test_Y_ARMA22_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,3]
        cls.res1 = ARMA(endog, order=(2,2)).fit(method="css", trend='nc',
                            disp=-1)
        cls.res2 = results_arma.Y_arma22("css")
        cls.decimal_t = DECIMAL_1
        cls.decimal_resid = DECIMAL_3
        cls.decimal_pvalues = DECIMAL_1
        cls.decimal_fittedvalues = DECIMAL_3

#NOTE: Ok
#NOTE: gretl just uses least squares for AR CSS
# so BIC, etc. is
# -2*res1.llf + np.log(nobs)*(res1.q+res1.p+res1.k)
# with no adjustment for p and no extra sigma estimate
#NOTE: so our tests use x-12 arima results which agree with us and are
# consistent with the rest of the models
class Test_Y_ARMA50_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,4]
        cls.res1 = ARMA(endog, order=(5,0)).fit(method="css", trend='nc',
                            disp=-1)
        cls.res2 = results_arma.Y_arma50("css")
        cls.decimal_t = 0
        cls.decimal_llf = DECIMAL_1 # looks like rounding error?

#NOTE: ok
class Test_Y_ARMA02_NoConst_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,5]
        cls.res1 = ARMA(endog, order=(0,2)).fit(method="css", trend='nc',
                            disp=-1)
        cls.res2 = results_arma.Y_arma02("css")

#NOTE: Ok
#NOTE: our results are close to --x-12-arima option and R
class Test_Y_ARMA11_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,6]
        cls.res1 = ARMA(endog, order=(1,1)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma11c("css")
        cls.decimal_params = DECIMAL_3
        cls.decimal_cov_params = DECIMAL_3
        cls.decimal_t = DECIMAL_1

#NOTE: Ok
class Test_Y_ARMA14_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,7]
        cls.res1 = ARMA(endog, order=(1,4)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma14c("css")
        cls.decimal_t = DECIMAL_1
        cls.decimal_pvalues = DECIMAL_1

#NOTE: Ok
class Test_Y_ARMA41_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,8]
        cls.res1 = ARMA(endog, order=(4,1)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma41c("css")
        cls.decimal_t = DECIMAL_1
        cls.decimal_cov_params = DECIMAL_1
        cls.decimal_maroots = DECIMAL_3
        cls.decimal_bse = DECIMAL_1

#NOTE: Ok
class Test_Y_ARMA22_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,9]
        cls.res1 = ARMA(endog, order=(2,2)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma22c("css")
        cls.decimal_t = 0
        cls.decimal_pvalues = DECIMAL_1

#NOTE: Ok
class Test_Y_ARMA50_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,10]
        cls.res1 = ARMA(endog, order=(5,0)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma50c("css")
        cls.decimal_t = DECIMAL_1
        cls.decimal_params = DECIMAL_3
        cls.decimal_cov_params = DECIMAL_2

#NOTE: Ok
class Test_Y_ARMA02_Const_CSS(CheckArmaResultsMixin):
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,11]
        cls.res1 = ARMA(endog, order=(0,2)).fit(trend="c", method="css",
                        disp=-1)
        cls.res2 = results_arma.Y_arma02c("css")

def test_reset_trend():
    endog = y_arma[:,0]
    mod = ARMA(endog, order=(1,1))
    res1 = mod.fit(trend="c", disp=-1)
    res2 = mod.fit(trend="nc", disp=-1)
    assert_equal(len(res1.params), len(res2.params)+1)

#@dec.slow
def test_start_params_bug():
    data = np.array([1368., 1187, 1090, 1439, 2362, 2783, 2869, 2512, 1804,
    1544, 1028, 869, 1737, 2055, 1947, 1618, 1196, 867, 997, 1862, 2525,
    3250, 4023, 4018, 3585, 3004, 2500, 2441, 2749, 2466, 2157, 1847, 1463,
    1146, 851, 993, 1448, 1719, 1709, 1455, 1950, 1763, 2075, 2343, 3570,
    4690, 3700, 2339, 1679, 1466, 998, 853, 835, 922, 851, 1125, 1299, 1105,
    860, 701, 689, 774, 582, 419, 846, 1132, 902, 1058, 1341, 1551, 1167,
    975, 786, 759, 751, 649, 876, 720, 498, 553, 459, 543, 447, 415, 377,
    373, 324, 320, 306, 259, 220, 342, 558, 825, 994, 1267, 1473, 1601,
    1896, 1890, 2012, 2198, 2393, 2825, 3411, 3406, 2464, 2891, 3685, 3638,
    3746, 3373, 3190, 2681, 2846, 4129, 5054, 5002, 4801, 4934, 4903, 4713,
    4745, 4736, 4622, 4642, 4478, 4510, 4758, 4457, 4356, 4170, 4658, 4546,
    4402, 4183, 3574, 2586, 3326, 3948, 3983, 3997, 4422, 4496, 4276, 3467,
    2753, 2582, 2921, 2768, 2789, 2824, 2482, 2773, 3005, 3641, 3699, 3774,
    3698, 3628, 3180, 3306, 2841, 2014, 1910, 2560, 2980, 3012, 3210, 3457,
    3158, 3344, 3609, 3327, 2913, 2264, 2326, 2596, 2225, 1767, 1190, 792,
    669, 589, 496, 354, 246, 250, 323, 495, 924, 1536, 2081, 2660, 2814, 2992,
    3115, 2962, 2272, 2151, 1889, 1481, 955, 631, 288, 103, 60, 82, 107, 185,
    618, 1526, 2046, 2348, 2584, 2600, 2515, 2345, 2351, 2355, 2409, 2449,
    2645, 2918, 3187, 2888, 2610, 2740, 2526, 2383, 2936, 2968, 2635, 2617,
    2790, 3906, 4018, 4797, 4919, 4942, 4656, 4444, 3898, 3908, 3678, 3605,
    3186, 2139, 2002, 1559, 1235, 1183, 1096, 673, 389, 223, 352, 308, 365,
    525, 779, 894, 901, 1025, 1047, 981, 902, 759, 569, 519, 408, 263, 156,
    72, 49, 31, 41, 192, 423, 492, 552, 564, 723, 921, 1525, 2768, 3531, 3824,
    3835, 4294, 4533, 4173, 4221, 4064, 4641, 4685, 4026, 4323, 4585, 4836,
    4822, 4631, 4614, 4326, 4790, 4736, 4104, 5099, 5154, 5121, 5384, 5274,
    5225, 4899, 5382, 5295, 5349, 4977, 4597, 4069, 3733, 3439, 3052, 2626,
    1939, 1064, 713, 916, 832, 658, 817, 921, 772, 764, 824, 967, 1127, 1153,
    824, 912, 957, 990, 1218, 1684, 2030, 2119, 2233, 2657, 2652, 2682, 2498,
    2429, 2346, 2298, 2129, 1829, 1816, 1225, 1010, 748, 627, 469, 576, 532,
    475, 582, 641, 605, 699, 680, 714, 670, 666, 636, 672, 679, 446, 248, 134,
    160, 178, 286, 413, 676, 1025, 1159, 952, 1398, 1833, 2045, 2072, 1798,
    1799, 1358, 727, 353, 347, 844, 1377, 1829, 2118, 2272, 2745, 4263, 4314,
    4530, 4354, 4645, 4547, 5391, 4855, 4739, 4520, 4573, 4305, 4196, 3773,
    3368, 2596, 2596, 2305, 2756, 3747, 4078, 3415, 2369, 2210, 2316, 2263,
    2672, 3571, 4131, 4167, 4077, 3924, 3738, 3712, 3510, 3182, 3179, 2951,
    2453, 2078, 1999, 2486, 2581, 1891, 1997, 1366, 1294, 1536, 2794, 3211,
    3242, 3406, 3121, 2425, 2016, 1787, 1508, 1304, 1060, 1342, 1589, 2361,
    3452, 2659, 2857, 3255, 3322, 2852, 2964, 3132, 3033, 2931, 2636, 2818,
    3310, 3396, 3179, 3232, 3543, 3759, 3503, 3758, 3658, 3425, 3053, 2620,
    1837, 923, 712, 1054, 1376, 1556, 1498, 1523, 1088, 728, 890, 1413, 2524,
    3295, 4097, 3993, 4116, 3874, 4074, 4142, 3975, 3908, 3907, 3918, 3755,
    3648, 3778, 4293, 4385, 4360, 4352, 4528, 4365, 3846, 4098, 3860, 3230,
    2820, 2916, 3201, 3721, 3397, 3055, 2141, 1623, 1825, 1716, 2232, 2939,
    3735, 4838, 4560, 4307, 4975, 5173, 4859, 5268, 4992, 5100, 5070, 5270,
    4760, 5135, 5059, 4682, 4492, 4933, 4737, 4611, 4634, 4789, 4811, 4379,
    4689, 4284, 4191, 3313, 2770, 2543, 3105, 2967, 2420, 1996, 2247, 2564,
    2726, 3021, 3427, 3509, 3759, 3324, 2988, 2849, 2340, 2443, 2364, 1252,
    623, 742, 867, 684, 488, 348, 241, 187, 279, 355, 423, 678, 1375, 1497,
    1434, 2116, 2411, 1929, 1628, 1635, 1609, 1757, 2090, 2085, 1790, 1846,
    2038, 2360, 2342, 2401, 2920, 3030, 3132, 4385, 5483, 5865, 5595, 5485,
    5727, 5553, 5560, 5233, 5478, 5159, 5155, 5312, 5079, 4510, 4628, 4535,
    3656, 3698, 3443, 3146, 2562, 2304, 2181, 2293, 1950, 1930, 2197, 2796,
    3441, 3649, 3815, 2850, 4005, 5305, 5550, 5641, 4717, 5131, 2831, 3518,
    3354, 3115, 3515, 3552, 3244, 3658, 4407, 4935, 4299, 3166, 3335, 2728,
    2488, 2573, 2002, 1717, 1645, 1977, 2049, 2125, 2376, 2551, 2578, 2629,
    2750, 3150, 3699, 4062, 3959, 3264, 2671, 2205, 2128, 2133, 2095, 1964,
    2006, 2074, 2201, 2506, 2449, 2465, 2064, 1446, 1382, 983, 898, 489, 319,
    383, 332, 276, 224, 144, 101, 232, 429, 597, 750, 908, 960, 1076, 951,
    1062, 1183, 1404, 1391, 1419, 1497, 1267, 963, 682, 777, 906, 1149, 1439,
    1600, 1876, 1885, 1962, 2280, 2711, 2591, 2411])
    res = ARMA(data, order=(4,1)).fit(disp=-1)

class Test_ARIMA101(CheckArmaResultsMixin):
    # just make sure this works
    @classmethod
    def setupClass(cls):
        endog = y_arma[:,6]
        cls.res1 = ARIMA(endog, (1,0,1)).fit(trend="c", disp=-1)
        (cls.res1.forecast_res, cls.res1.forecast_err,
                confint) = cls.res1.forecast(10)
        cls.res2 = results_arma.Y_arma11c()
        cls.res2.k_diff = 0
        cls.res2.k_ar = 1
        cls.res2.k_ma = 1

class Test_ARIMA111(CheckArimaResultsMixin, CheckForecastMixin,
                    CheckDynamicForecastMixin):
    @classmethod
    def setupClass(cls):
        from statsmodels.datasets.macrodata import load
        cpi = load().data['cpi']
        cls.res1 = ARIMA(cpi, (1,1,1)).fit(disp=-1)
        cls.res2 = results_arima.ARIMA111()
        # make sure endog names changes to D.cpi
        cls.decimal_llf = 3
        cls.decimal_aic = 3
        cls.decimal_bic = 3
        cls.decimal_cov_params = 2 # this used to be better?
        cls.decimal_t = 0
        (cls.res1.forecast_res,
         cls.res1.forecast_err,
         conf_int)              = cls.res1.forecast(25)
        #cls.res1.forecast_res_dyn = cls.res1.predict(start=164, end=226, typ='levels', dynamic=True)
        #TODO: fix the indexing for the end here, I don't think this is right
        # if we're going to treat it like indexing
        # the forecast from 2005Q1 through 2009Q4 is indices
        # 184 through 227 not 226
        # note that the first one counts in the count so 164 + 64 is 65
        # predictions
        cls.res1.forecast_res_dyn = cls.res1.predict(start=164, end=164+63,
                                            typ='levels', dynamic=True)

    def test_freq(self):
        assert_almost_equal(self.res1.arfreq, [0.0000], 4)
        assert_almost_equal(self.res1.mafreq, [0.0000], 4)

class Test_ARIMA111CSS(CheckArimaResultsMixin, CheckForecastMixin,
                       CheckDynamicForecastMixin):
    @classmethod
    def setupClass(cls):
        from statsmodels.datasets.macrodata import load
        cpi = load().data['cpi']
        cls.res1 = ARIMA(cpi, (1,1,1)).fit(disp=-1, method='css')
        cls.res2 = results_arima.ARIMA111(method='css')
        cls.res2.fittedvalues = - cpi[1:-1] + cls.res2.linear
        # make sure endog names changes to D.cpi
        (cls.res1.forecast_res,
         cls.res1.forecast_err,
         conf_int)              = cls.res1.forecast(25)
        cls.decimal_forecast = 2
        cls.decimal_forecast_dyn = 2
        cls.decimal_forecasterr = 3
        cls.res1.forecast_res_dyn = cls.res1.predict(start=164, end=164+63,
                                                 typ='levels', dynamic=True)

        # precisions
        cls.decimal_arroots = 3
        cls.decimal_cov_params = 3
        cls.decimal_hqic = 3
        cls.decimal_maroots = 3
        cls.decimal_t = 1
        cls.decimal_fittedvalues = 2 # because of rounding when copying
        cls.decimal_resid = 2
        #cls.decimal_llf = 3
        #cls.decimal_aic = 3
        #cls.decimal_bic = 3
        cls.decimal_predict_levels = DECIMAL_2


class Test_ARIMA112CSS(CheckArimaResultsMixin):
    @classmethod
    def setupClass(cls):
        from statsmodels.datasets.macrodata import load
        cpi = load().data['cpi']
        cls.res1 = ARIMA(cpi, (1,1,2)).fit(disp=-1, method='css',
                                start_params = [.905322, -.692425, 1.07366,
                                                0.172024])
        cls.res2 = results_arima.ARIMA112(method='css')
        cls.res2.fittedvalues = - cpi[1:-1] + cls.res2.linear
        # make sure endog names changes to D.cpi
        cls.decimal_llf = 3
        cls.decimal_aic = 3
        cls.decimal_bic = 3
        #(cls.res1.forecast_res,
        # cls.res1.forecast_err,
        # conf_int)              = cls.res1.forecast(25)
        #cls.res1.forecast_res_dyn = cls.res1.predict(start=164, end=226, typ='levels', dynamic=True)
        #TODO: fix the indexing for the end here, I don't think this is right
        # if we're going to treat it like indexing
        # the forecast from 2005Q1 through 2009Q4 is indices
        # 184 through 227 not 226
        # note that the first one counts in the count so 164 + 64 is 65
        # predictions
        #cls.res1.forecast_res_dyn = self.predict(start=164, end=164+63,
        #                                         typ='levels', dynamic=True)
        # since we got from gretl don't have linear prediction in differences
        cls.decimal_arroots = 3
        cls.decimal_maroots = 2
        cls.decimal_t = 1
        cls.decimal_resid = 2
        cls.decimal_fittedvalues = 3
        cls.decimal_predict_levels = DECIMAL_3

    def test_freq(self):
        assert_almost_equal(self.res1.arfreq, [0.5000], 4)
        assert_almost_equal(self.res1.mafreq, [0.5000, 0.5000], 4)

#class Test_ARIMADates(CheckArmaResults, CheckForecast, CheckDynamicForecast):
#    @classmethod
#    def setupClass(cls):
#        from statsmodels.datasets.macrodata import load
#        from statsmodels.tsa.datetools import dates_from_range
#
#        cpi = load().data['cpi']
#        dates = dates_from_range('1959q1', length=203)
#        cls.res1 = ARIMA(cpi, dates=dates, freq='Q').fit(order=(1,1,1), disp=-1)
#        cls.res2 = results_arima.ARIMA111()
#        # make sure endog names changes to D.cpi
#        cls.decimal_llf = 3
#        cls.decimal_aic = 3
#        cls.decimal_bic = 3
#        (cls.res1.forecast_res,
#         cls.res1.forecast_err,
#         conf_int)              = cls.res1.forecast(25)

def test_arima_predict_mle_dates():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    res1 = ARIMA(cpi, (4,1,1), dates=cpi_dates, freq='Q').fit(disp=-1)

    arima_forecasts = np.genfromtxt(open(
        current_path + '/results/results_arima_forecasts_all_mle.csv', "rb"),
                    delimiter=",", skip_header=1, dtype=float)

    fc = arima_forecasts[:,0]
    fcdyn = arima_forecasts[:,1]
    fcdyn2 = arima_forecasts[:,2]

    start, end = 2, 51
    fv = res1.predict('1959Q3', '1971Q4', typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    assert_equal(res1.data.predict_dates, cpi_dates[start:end+1])

    start, end = 202, 227
    fv = res1.predict('2009Q3', '2015Q4', typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    assert_equal(res1.data.predict_dates, cpi_predict_dates)

    # make sure dynamic works

    start, end = '1960q2', '1971q4'
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[5:51+1], DECIMAL_4)

    start, end = '1965q1', '2015q4'
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[24:227+1], DECIMAL_4)

def test_arma_predict_mle_dates():
    from statsmodels.datasets.sunspots import load
    sunspots = load().data['SUNACTIVITY']
    mod = ARMA(sunspots, (9,0), dates=sun_dates, freq='A')
    mod.method = 'mle'

    assert_raises(ValueError, mod._get_predict_start, *('1701', True))

    start, end = 2, 51
    _ = mod._get_predict_start('1702', False)
    _ = mod._get_predict_end('1751')
    assert_equal(mod.data.predict_dates, sun_dates[start:end+1])

    start, end = 308, 333
    _ = mod._get_predict_start('2008', False)
    _ = mod._get_predict_end('2033')
    assert_equal(mod.data.predict_dates, sun_predict_dates)


def test_arima_predict_css_dates():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    res1 = ARIMA(cpi, (4,1,1), dates=cpi_dates, freq='Q').fit(disp=-1,
            method='css', trend='nc')

    params = np.array([ 1.231272508473910,
                       -0.282516097759915,
                        0.170052755782440,
                       -0.118203728504945,
                       -0.938783134717947])

    arima_forecasts = np.genfromtxt(open(
        current_path + '/results/results_arima_forecasts_all_css.csv', "rb"),
                    delimiter=",", skip_header=1, dtype=float)

    fc = arima_forecasts[:,0]
    fcdyn = arima_forecasts[:,1]
    fcdyn2 = arima_forecasts[:,2]

    start, end = 5, 51
    fv = res1.model.predict(params, '1960Q2', '1971Q4', typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    assert_equal(res1.data.predict_dates, cpi_dates[start:end+1])

    start, end = 202, 227
    fv = res1.model.predict(params, '2009Q3', '2015Q4', typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    assert_equal(res1.data.predict_dates, cpi_predict_dates)

    # make sure dynamic works
    start, end = 5, 51
    fv = res1.model.predict(params, '1960Q2', '1971Q4', typ='levels',
                                                        dynamic=True)
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)

    start, end = '1965q1', '2015q4'
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[24:227+1], DECIMAL_4)


def test_arma_predict_css_dates():
    from statsmodels.datasets.sunspots import load
    sunspots = load().data['SUNACTIVITY']
    mod = ARMA(sunspots, (9,0), dates=sun_dates, freq='A')
    mod.method = 'css'
    assert_raises(ValueError, mod._get_predict_start, *('1701', False))

def test_arima_predict_mle():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    res1 = ARIMA(cpi, (4,1,1)).fit(disp=-1)
    # fit the model so that we get correct endog length but use

    arima_forecasts = np.genfromtxt(open(
        current_path + '/results/results_arima_forecasts_all_mle.csv', "rb"),
                    delimiter=",", skip_header=1, dtype=float)
    fc = arima_forecasts[:,0]
    fcdyn = arima_forecasts[:,1]
    fcdyn2 = arima_forecasts[:,2]
    fcdyn3 = arima_forecasts[:,3]
    fcdyn4 = arima_forecasts[:,4]

    # 0 indicates the first sample-observation below
    # ie., the index after the pre-sample, these are also differenced once
    # so the indices are moved back once from the cpi in levels
    # start < p, end <p 1959q2 - 1959q4
    start, end = 1,3
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start < p, end 0 1959q3 - 1960q1
    start, end = 2, 4
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start < p, end >0 1959q3 - 1971q4
    start, end = 2, 51
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start < p, end nobs 1959q3 - 2009q3
    start, end = 2, 202
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start < p, end >nobs 1959q3 - 2015q4
    start, end = 2, 227
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start 0, end >0 1960q1 - 1971q4
    start, end = 4, 51
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start 0, end nobs 1960q1 - 2009q3
    start, end = 4, 202
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start 0, end >nobs 1960q1 - 2015q4
    start, end = 4, 227
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end >0 1965q1 - 1971q4
    start, end = 24, 51
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end nobs 1965q1 - 2009q3
    start, end = 24, 202
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end >nobs 1965q1 - 2015q4
    start, end = 24, 227
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start nobs, end nobs 2009q3 - 2009q3
    #NOTE: raises
    #start, end = 202, 202
    #fv = res1.predict(start, end, typ='levels')
    #assert_almost_equal(fv, [])
    # start nobs, end >nobs 2009q3 - 2015q4
    start, end = 202, 227
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_3)
    # start >nobs, end >nobs 2009q4 - 2015q4
    #NOTE: this raises but shouldn't, dynamic forecasts could start
    #one period out
    start, end = 203, 227
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # defaults
    start, end = None, None
    fv = res1.predict(start, end, typ='levels')
    assert_almost_equal(fv, fc[1:203], DECIMAL_4)

    #### Dynamic #####

    # start < p, end <p 1959q2 - 1959q4
    #NOTE: should raise
    #start, end = 1,3
    #fv = res1.predict(start, end, dynamic=True, typ='levels')
    #assert_almost_equal(fv, arima_forecasts[:,15])
    # start < p, end 0 1959q3 - 1960q1

    #NOTE: below should raise an error
    #start, end = 2, 4
    #fv = res1.predict(start, end, dynamic=True, typ='levels')
    #assert_almost_equal(fv, fcdyn[5:end+1], DECIMAL_4)
    # start < p, end >0 1959q3 - 1971q4
    #start, end = 2, 51
    #fv = res1.predict(start, end, dynamic=True, typ='levels')
    #assert_almost_equal(fv, fcdyn[5:end+1], DECIMAL_4)
    ## start < p, end nobs 1959q3 - 2009q3
    #start, end = 2, 202
    #fv = res1.predict(start, end, dynamic=True, typ='levels')
    #assert_almost_equal(fv, fcdyn[5:end+1], DECIMAL_4)
    ## start < p, end >nobs 1959q3 - 2015q4
    #start, end = 2, 227
    #fv = res1.predict(start, end, dynamic=True, typ='levels')
    #assert_almost_equal(fv, fcdyn[5:end+1], DECIMAL_4)
    # start 0, end >0 1960q1 - 1971q4
    start, end = 5, 51
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start 0, end nobs 1960q1 - 2009q3
    start, end = 5, 202
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start 0, end >nobs 1960q1 - 2015q4
    start, end = 5, 227
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start >p, end >0 1965q1 - 1971q4
    start, end = 24, 51
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[start:end+1], DECIMAL_4)
    # start >p, end nobs 1965q1 - 2009q3
    start, end = 24, 202
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[start:end+1], DECIMAL_4)
    # start >p, end >nobs 1965q1 - 2015q4
    start, end = 24, 227
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[start:end+1], DECIMAL_4)
    # start nobs, end nobs 2009q3 - 2009q3
    start, end = 202, 202
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn3[start:end+1], DECIMAL_4)
    # start nobs, end >nobs 2009q3 - 2015q4
    start, end = 202, 227
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn3[start:end+1], DECIMAL_4)
    # start >nobs, end >nobs 2009q4 - 2015q4
    start, end = 203, 227
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn4[start:end+1], DECIMAL_4)
    # defaults
    start, end = None, None
    fv = res1.predict(start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[5:203], DECIMAL_4)

def _check_start(model, given, expected, dynamic):
    start = model._get_predict_start(given, dynamic)
    assert_equal(start, expected)

def _check_end(model, given, end_expect, out_of_sample_expect):
    end, out_of_sample = model._get_predict_end(given)
    assert_equal((end, out_of_sample), (end_expect, out_of_sample_expect))

def test_arma_predict_indices():
    from statsmodels.datasets.sunspots import load
    sunspots = load().data['SUNACTIVITY']
    model = ARMA(sunspots, (9,0), dates=sun_dates, freq='A')
    model.method = 'mle'

    # raises - pre-sample + dynamic
    assert_raises(ValueError, model._get_predict_start, *(0, True))
    assert_raises(ValueError, model._get_predict_start, *(8, True))
    assert_raises(ValueError, model._get_predict_start, *('1700', True))
    assert_raises(ValueError, model._get_predict_start, *('1708', True))

    # raises - start out of sample
    assert_raises(ValueError, model._get_predict_start, *(311, True))
    assert_raises(ValueError, model._get_predict_start, *(311, False))
    assert_raises(ValueError, model._get_predict_start, *('2010', True))
    assert_raises(ValueError, model._get_predict_start, *('2010', False))

    # works - in-sample
    # None
                  # given, expected, dynamic
    start_test_cases = [
                  (None, 9, True),
                  # all start get moved back by k_diff
                  (9, 9, True),
                  (10, 10, True),
                  # what about end of sample start - last value is first
                  # forecast
                  (309, 309, True),
                  (308, 308, True),
                  (0, 0, False),
                  (1, 1, False),
                  (4, 4, False),

                  # all start get moved back by k_diff
                  ('1709', 9, True),
                  ('1710', 10, True),
                  # what about end of sample start - last value is first
                  # forecast
                  ('2008', 308, True),
                  ('2009', 309, True),
                  ('1700', 0, False),
                  ('1708', 8, False),
                  ('1709', 9, False),
                  ]

    for case in start_test_cases:
        _check_start(*((model,) + case))

    # the length of sunspot is 309, so last index is 208
    end_test_cases = [(None, 308, 0),
                      (307, 307, 0),
                      (308, 308, 0),
                      (309, 308, 1),
                      (312, 308, 4),
                      (51, 51, 0),
                      (333, 308, 25),

                      ('2007', 307, 0),
                      ('2008', 308, 0),
                      ('2009', 308, 1),
                      ('2012', 308, 4),
                      ('1815', 115, 0),
                      ('2033', 308, 25),
                      ]

    for case in end_test_cases:
        _check_end(*((model,)+case))

def test_arima_predict_indices():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    model = ARIMA(cpi, (4,1,1), dates=cpi_dates, freq='Q')
    model.method = 'mle'

    # starting indices

    # raises - pre-sample + dynamic
    assert_raises(ValueError, model._get_predict_start, *(0, True))
    assert_raises(ValueError, model._get_predict_start, *(4, True))
    assert_raises(ValueError, model._get_predict_start, *('1959Q1', True))
    assert_raises(ValueError, model._get_predict_start, *('1960Q1', True))

    # raises - index differenced away
    assert_raises(ValueError, model._get_predict_start, *(0, False))
    assert_raises(ValueError, model._get_predict_start, *('1959Q1', False))

    # raises - start out of sample
    assert_raises(ValueError, model._get_predict_start, *(204, True))
    assert_raises(ValueError, model._get_predict_start, *(204, False))
    assert_raises(ValueError, model._get_predict_start, *('2010Q1', True))
    assert_raises(ValueError, model._get_predict_start, *('2010Q1', False))

    # works - in-sample
    # None
                  # given, expected, dynamic
    start_test_cases = [
                  (None, 4, True),
                  # all start get moved back by k_diff
                  (5, 4, True),
                  (6, 5, True),
                  # what about end of sample start - last value is first
                  # forecast
                  (203, 202, True),
                  (1, 0, False),
                  (4, 3, False),
                  (5, 4, False),
                  # all start get moved back by k_diff
                  ('1960Q2', 4, True),
                  ('1960Q3', 5, True),
                  # what about end of sample start - last value is first
                  # forecast
                  ('2009Q4', 202, True),
                  ('1959Q2', 0, False),
                  ('1960Q1', 3, False),
                  ('1960Q2', 4, False),
                  ]

    for case in start_test_cases:
        _check_start(*((model,) + case))

    # check raises
    #TODO: make sure dates are passing through unmolested
    #assert_raises(ValueError, model._get_predict_end, ("2001-1-1",))


    # the length of diff(cpi) is 202, so last index is 201
    end_test_cases = [(None, 201, 0),
                      (201, 200, 0),
                      (202, 201, 0),
                      (203, 201, 1),
                      (204, 201, 2),
                      (51, 50, 0),
                      (164+63, 201, 25),

                      ('2009Q2', 200, 0),
                      ('2009Q3', 201, 0),
                      ('2009Q4', 201, 1),
                      ('2010Q1', 201, 2),
                      ('1971Q4', 50, 0),
                      ('2015Q4', 201, 25),
                      ]

    for case in end_test_cases:
        _check_end(*((model,)+case))

    # check higher k_diff

    model.k_diff = 2
    # raises - pre-sample + dynamic
    assert_raises(ValueError, model._get_predict_start, *(0, True))
    assert_raises(ValueError, model._get_predict_start, *(5, True))
    assert_raises(ValueError, model._get_predict_start, *('1959Q1', True))
    assert_raises(ValueError, model._get_predict_start, *('1960Q1', True))

    # raises - index differenced away
    assert_raises(ValueError, model._get_predict_start, *(1, False))
    assert_raises(ValueError, model._get_predict_start, *('1959Q2', False))

    start_test_cases = [(None, 4, True),
                  # all start get moved back by k_diff
                  (6, 4, True),
                  # what about end of sample start - last value is first
                  # forecast
                  (203, 201, True),
                  (2, 0, False),
                  (4, 2, False),
                  (5, 3, False),
                  ('1960Q3', 4, True),
                  # what about end of sample start - last value is first
                  # forecast
                  ('2009Q4', 201, True),
                  ('2009Q4', 201, True),
                  ('1959Q3', 0, False),
                  ('1960Q1', 2, False),
                  ('1960Q2', 3, False),
                  ]

    for case in start_test_cases:
        _check_start(*((model,)+case))

    end_test_cases = [(None, 200, 0),
                      (201, 199, 0),
                      (202, 200, 0),
                      (203, 200, 1),
                      (204, 200, 2),
                      (51, 49, 0),
                      (164+63, 200, 25),

                      ('2009Q2', 199, 0),
                      ('2009Q3', 200, 0),
                      ('2009Q4', 200, 1),
                      ('2010Q1', 200, 2),
                      ('1971Q4', 49, 0),
                      ('2015Q4', 200, 25),
                      ]

    for case in end_test_cases:
        _check_end(*((model,)+case))

def test_arima_predict_indices_css():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    #NOTE: Doing no-constant for now to kick the conditional exogenous
    #issue 274 down the road
    # go ahead and git the model to set up necessary variables
    model = ARIMA(cpi, (4,1,1))
    model.method = 'css'

    assert_raises(ValueError, model._get_predict_start, *(0, False))
    assert_raises(ValueError, model._get_predict_start, *(0, True))
    assert_raises(ValueError, model._get_predict_start, *(2, False))
    assert_raises(ValueError, model._get_predict_start, *(2, True))

def test_arima_predict_css():
    from statsmodels.datasets.macrodata import load
    cpi = load().data['cpi']
    #NOTE: Doing no-constant for now to kick the conditional exogenous
    #issue 274 down the road
    # go ahead and git the model to set up necessary variables
    res1 = ARIMA(cpi, (4,1,1)).fit(disp=-1, method="css",
                            trend="nc")
    # but use gretl parameters to predict to avoid precision problems
    params = np.array([ 1.231272508473910,
                       -0.282516097759915,
                       0.170052755782440,
                      -0.118203728504945,
                      -0.938783134717947])

    arima_forecasts = np.genfromtxt(open(
        current_path + '/results/results_arima_forecasts_all_css.csv', "rb"),
                    delimiter=",", skip_header=1, dtype=float)
    fc = arima_forecasts[:,0]
    fcdyn = arima_forecasts[:,1]
    fcdyn2 = arima_forecasts[:,2]
    fcdyn3 = arima_forecasts[:,3]
    fcdyn4 = arima_forecasts[:,4]

    #NOTE: should raise
    #start, end = 1,3
    #fv = res1.model.predict(params, start, end)
    ## start < p, end 0 1959q3 - 1960q1
    #start, end = 2, 4
    #fv = res1.model.predict(params, start, end)
    ## start < p, end >0 1959q3 - 1971q4
    #start, end = 2, 51
    #fv = res1.model.predict(params, start, end)
    ## start < p, end nobs 1959q3 - 2009q3
    #start, end = 2, 202
    #fv = res1.model.predict(params, start, end)
    ## start < p, end >nobs 1959q3 - 2015q4
    #start, end = 2, 227
    #fv = res1.model.predict(params, start, end)
    # start 0, end >0 1960q1 - 1971q4
    start, end = 5, 51
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start 0, end nobs 1960q1 - 2009q3
    start, end = 5, 202
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start 0, end >nobs 1960q1 - 2015q4
    #TODO: why detoriating precision?
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end >0 1965q1 - 1971q4
    start, end = 24, 51
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end nobs 1965q1 - 2009q3
    start, end = 24, 202
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >p, end >nobs 1965q1 - 2015q4
    start, end = 24, 227
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start nobs, end nobs 2009q3 - 2009q3
    start, end = 202, 202
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start nobs, end >nobs 2009q3 - 2015q4
    start, end = 202, 227
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # start >nobs, end >nobs 2009q4 - 2015q4
    start, end = 203, 227
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[start:end+1], DECIMAL_4)
    # defaults
    start, end = None, None
    fv = res1.model.predict(params, start, end, typ='levels')
    assert_almost_equal(fv, fc[5:203], DECIMAL_4)

    #### Dynamic #####

    #NOTE: should raise
    # start < p, end <p 1959q2 - 1959q4
    #start, end = 1,3
    #fv = res1.predict(start, end, dynamic=True)
    # start < p, end 0 1959q3 - 1960q1
    #start, end = 2, 4
    #fv = res1.predict(start, end, dynamic=True)
    ## start < p, end >0 1959q3 - 1971q4
    #start, end = 2, 51
    #fv = res1.predict(start, end, dynamic=True)
    ## start < p, end nobs 1959q3 - 2009q3
    #start, end = 2, 202
    #fv = res1.predict(start, end, dynamic=True)
    ## start < p, end >nobs 1959q3 - 2015q4
    #start, end = 2, 227
    #fv = res1.predict(start, end, dynamic=True)
    # start 0, end >0 1960q1 - 1971q4
    start, end = 5, 51
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start 0, end nobs 1960q1 - 2009q3
    start, end = 5, 202
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start 0, end >nobs 1960q1 - 2015q4
    start, end = 5, 227
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn[start:end+1], DECIMAL_4)
    # start >p, end >0 1965q1 - 1971q4
    start, end = 24, 51
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[start:end+1], DECIMAL_4)
    # start >p, end nobs 1965q1 - 2009q3
    start, end = 24, 202
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv, fcdyn2[start:end+1], DECIMAL_4)
    # start >p, end >nobs 1965q1 - 2015q4
    start, end = 24, 227
    fv = res1.model.predict(params, start, end, dynamic=True, typ='levels')
    assert_almost_equal(fv…