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A GENERALIZED PORTMANTEAU TEST FOR INDEPENDENCE BETWEEN TWO STATIONARY TIME SERIES

Published online by Cambridge University Press:  01 February 2009

Xiaofeng Shao
Xiaofeng Shao*
Affiliation:
University of Illinois at Urbana-Champaign
*
*Address correspondence to Xiaofeng Shao, Department of Statistics, University of Illinois at Urbana-Champaign, 725 South Wright St., Champaign, IL 61820, USA; e-mail: [email protected].
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Abstract

We propose generalized portmanteau-type test statistics in the frequency domain to test independence between two stationary time series. The test statistics are formed analogous to the one in the paper by Chen and Deo (2004, Econometric Theory 20, 382–416), who extended the applicability of the portmanteau goodness-of-fit test to the long memory case. Under the null hypothesis of independence, the asymptotic standard normal distributions of the proposed statistics are derived under fairly mild conditions. In particular, each time series is allowed to possess short memory, long memory, or antipersistence. A simulation study shows that the tests have reasonable size and power properties.

Type
ARTICLES
Information
Econometric Theory , Volume 25 , Issue 1 , February 2009 , pp. 195 - 210
Copyright
Copyright © Cambridge University Press 2009

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