An asymptotic expansion for the distribution of the likelihood radio criterion for a gaussian autoregressive moving average process under a local alternative

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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 [formula omitted] where n is the sample size. Explicit algebraic formulae are presented for certain special cases, including the ARMA(1,1).

Original languageEnglish
Pages (from-to)73-84
Number of pages12
JournalEconometric Theory
Volume1
Issue number1
DOIs
Publication statusPublished - 1985
Externally publishedYes

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radio
Asymptotic expansion
Local alternatives
Autoregressive moving average
Sample size
Likelihood ratio
Rate of convergence

ASJC Scopus subject areas

  • Economics and Econometrics
  • Social Sciences (miscellaneous)

Cite this

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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 [formula omitted] where n is the sample size. Explicit algebraic formulae are presented for certain special cases, including the ARMA(1,1).",
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