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March, 1981 An Optimal Autoregressive Spectral Estimate
Ritei Shibata
Ann. Statist. 9(2): 300-306 (March, 1981). 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.

Citation

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Ritei Shibata. "An Optimal Autoregressive Spectral Estimate." Ann. Statist. 9 (2) 300 - 306, March, 1981. https://doi.org/10.1214/aos/1176345396

Information

Published: March, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0459.62083
MathSciNet: MR606614
Digital Object Identifier: 10.1214/aos/1176345396

Subjects:
Primary: 62M15
Secondary: 62M10

Keywords: Autoregression , Model selection , Spectral estimate

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 2 • March, 1981
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