# statsmodels.regression.linear_model.yule_walker¶

statsmodels.regression.linear_model.yule_walker(X, order=1, method='unbiased', df=None, inv=False, demean=True)[source]

Estimate AR(p) parameters from a sequence X using Yule-Walker equation.

Unbiased or maximum-likelihood estimator (mle)

See, for example:

http://en.wikipedia.org/wiki/Autoregressive_moving_average_model

Parameters: X (array-like) – 1d array order (integer, optional) – The order of the autoregressive process. Default is 1. method (string, optional) – Method can be ‘unbiased’ or ‘mle’ and this determines denominator in estimate of autocorrelation function (ACF) at lag k. If ‘mle’, the denominator is n=X.shape[0], if ‘unbiased’ the denominator is n-k. The default is unbiased. df (integer, optional) – Specifies the degrees of freedom. If df is supplied, then it is assumed the X has df degrees of freedom rather than n. Default is None. inv (bool) – If inv is True the inverse of R is also returned. Default is False. demean (bool) – True, the mean is subtracted from X before estimation. rho – The autoregressive coefficients sigma – TODO

Examples

>>> import statsmodels.api as sm

>>> rho