arch.unitroot.cointegration.PhillipsOuliarisTestResults¶

class arch.unitroot.cointegration.PhillipsOuliarisTestResults(stat: float, pvalue: float, crit_vals: Series, null: str = 'No Cointegration', alternative: str = 'Cointegration', trend: str = 'c', order: int = 2, xsection: RegressionResults | None = None, test_type: str = 'za', kernel_est: CovarianceEstimator | None = None, rho: float = 0.0)[source]¶

Results class for Phillips-Ouliaris cointegration tests.

Parameters:¶

stat: float¶

The Phillips-Ouliaris test statistic.

pvalue: float¶

The pvalue of the Phillips-Ouliaris test statistic.

crit_vals: Series¶

The critical values of the Phillips-Ouliaris test specific to the sample size and model dimension.

null: str = 'No Cointegration'¶

The null hypothesis.

alternative: str = 'Cointegration'¶

The alternative hypothesis.

trend: str = 'c'¶

The model’s trend description.

order: int = 2¶

The number of stochastic trends in the null distribution.

xsection: RegressionResults | None = None¶

The OLS results used in the cross-sectional regression. They must be provided.

test_type: str = 'za'¶

The type of the test, one of “za”, “zt”, “pu” and “pz”. Not case sensitive.

kernel_est: CovarianceEstimator | None = None¶

The long-run covariance estimator used to compute the test statistic. It must be provided.

rho: float = 0.0¶

Not used.

Methods

plot([axes, title])	Plot the cointegration residuals.
summary()	Summary of test, containing statistic, p-value and critical values.

Properties

alternative_hypothesis	The alternative hypothesis.
bandwidth	Bandwidth used by the long-run covariance estimator.
cointegrating_vector	The estimated cointegrating vector.
critical_values	The critical values of the test.
distribution_order	The number of stochastic trends under the null hypothesis.
kernel	Name of the long-run covariance estimator.
name	Set or get the name of the cointegration test.
null_hypothesis	The null hypothesis.
pvalue	The p-value of the test statistic.
resid	The residual from the cointegrating regression.
stat	The test statistic.
trend	The trend used in the cointegrating regression.