EFFICIENT ESTIMATION FOR PERIODIC AUTOREGRESSIVE COEFFICIENTS VIA RESIDUALS
type="main" xml:id="jtsa12070-abs-0001">A two-step estimation method is proposed for periodic autoregressive parameters via residuals when the observations contain trend and periodic autoregressive time series. The oracle efficiency of the proposed Yule–Walker-type estimator is established. The performance is illustrated by simulation studies and real data analysis.