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Aproximate Distributions of the Periodogram and Related Statistics under Normality

Published online by Cambridge University Press:  18 October 2010

Seiji Nabeya  and
Katsuto Tanaka
Seiji Nabeya
Affiliation:
Hitotsubashi University, Kunitachi, Tokyo
Katsuto Tanaka
Affiliation:
Hitotsubashi University, Kunitachi, Tokyo
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Abstract

Under normality, we obtain higher-order approximations to the distributions of the periodogram and related statistics. Our approach is based on the theorem which decomposes the periodogram into the sum of two independent random variables. It is seen that this decomposition enables us to study fairly closely the higher-order properties of not only the periodogram, but also periodogram-based statistics such as the estimators of the spectrum and prediction error variance. Some of the approximation results are graphically presented together with the exact results based on simulations.

Information

Type
Research Article
Information
Econometric Theory , Volume 2 , Issue 1 , April 1986 , pp. 33 - 65
Copyright
Copyright © Cambridge University Press 1986 

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