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An Asymptotic Expansion for the Distribution of the Likelihood Radio Criterion for a Gaussian Autoregressive Moving Average Process Under a Local Alternative

Published online by Cambridge University Press:  18 October 2010

Masanobu Taniguchi
Masanobu Taniguchi*
Affiliation:
Hiroshima University
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Abstract

In this paper, we shall derive the asymptotic expansion for the distribution of the likelihood ratio criterion for a Gaussian autoregressive moving average process under a sequence of local alternative hypotheses converging to the null hypothesis with rate of convergence where n is the sample size. Explicit algebraic formulae are presented for certain special cases, including the ARMA(1,1).

Type
Research Article
Information
Econometric Theory , Volume 1 , Issue 1 , April 1985 , pp. 73 - 84
Copyright
Copyright © Cambridge University Press 1985 

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References

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