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Improvement of the quasi-likelihood ratio test in ARMA models: some results for bootstrap methods

Canepa, A. and Godfrey, L.G. (2007) Improvement of the quasi-likelihood ratio test in ARMA models: some results for bootstrap methods. Journal of Time Series Analysis, 28 (3). pp. 434-453. ISSN 0143-9782

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Abstract

Quasi-likelihood ratio tests for autoregressive moving-average (ARMA) models are examined. The ARMA models are stationary and invertible with white-noise terms that are not restricted to be normally distributed. The white-noise terms are instead subject to the weaker assumption that they are independently and identically distributed with an unspecified distribution. Bootstrap methods are used to improve control of the finite sample significance levels. The bootstrap is used in two ways: first, to approximate a Bartlett-type correction; and second, to estimate the p-value of the observed test statistic. Some simulation evidence is provided. The bootstrap p-value test emerges as the best performer in terms of controlling significance levels.

Item Type: Article
Academic Units: The University of York > Economics and Related Studies (York)
Depositing User: York RAE Import
Date Deposited: 07 Apr 2009 16:55
Last Modified: 07 Apr 2009 16:55
Published Version: http://dx.doi.org/10.1111/j.1467-9892.2006.00518.x
Status: Published
Publisher: Blackwell Publishing Ltd
Identification Number: 10.1111/j.1467-9892.2006.00518.x
URI: http://eprints.whiterose.ac.uk/id/eprint/6955

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