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An Optimal Autoregressive Spectral Estimate

Ritei Shibata

The Annals of Statistics · 1981 · Volume 9 · Issue 2

DOI: 10.1214/aos/1176345396

Abstract

An asymptotic lower bound is obtained for the integrated relative squared error of autoregressive spectral estimate when the order of autoregression is selected. The bound is attained in the limit by the same selection as has been proposed for prediction.

Keywords

62M10, 62M15, Autoregression, Model selection, Spectral estimate

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