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Distribution free goodness-of-fit tests for linear processes

Delgado, Miguel A. and Hidalgo, Javier and Velasco, Carlos (2005) Distribution free goodness-of-fit tests for linear processes. EM, 482. Suntory and Toyota International Centres for Economics and Related Disciplines, London School of Economics and Political Science, London, UK.

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Identification Number: 482

Abstract

This article proposes a class of goodness-of-fit tests for the autocorrelation function of a time series process, including those exhibiting long-range dependence. Test statistics for composite hypotheses are functionals of a (approximated) martingale transformation of the Bartlett’s Tp-process with estimated parameters, which converges in distribution to the standard Brownian Motion under the null hypothesis. We discuss tests of different nature such as omnibus, directional and Portmanteau-type tests. A Monte Carlo study illustrates the performance of the different tests in practice.

Item Type: Monograph (Discussion Paper)
Official URL: http://sticerd.lse.ac.uk
Additional Information: © 2005 Miguel A.Delgado, Javier Hidalgo and Carlos Velasco
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
Sets: Collections > Economists Online
Departments > Economics
Research centres and groups > Suntory and Toyota International Centres for Economics and Related Disciplines (STICERD)
Date Deposited: 09 Jul 2008 13:59
Last Modified: 01 Oct 2010 08:58
URI: http://eprints.lse.ac.uk/id/eprint/6840

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