The BDS Test as a Test for the Adequacy of a GARCH(1,1) Specification: A Monte Carlo Study

Caporale, Guglielmo Maria and Ntantamis, Christos and Pantelidis, Theologos and Pittis, Nikitas (May 2004) The BDS Test as a Test for the Adequacy of a GARCH(1,1) Specification: A Monte Carlo Study. IHS Economics Series 156

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Abstract or Table of Contents

Abstract: In this study, we examine the Brock, Dechert and Scheinkman (BDS) test when applied to the standardised residuals of an estimated GARCH(1,1) model as a test for the adequacy of this specification. We review the conditions derived by De Lima (1996, Econometric Reviews, 15, 237-259) for the nuisance-parameter free property to hold, and address the issue of their necessity, using the GARCH(1,1) model. By means of Monte Carlo simulations, we show that, provided that the unconditional meanexists, the BDS test statistic still approximates the standard null distribution even when the majority of the conditions are violated. Further, the test performs reasonably well, as its empirical size is rather close to the nominal one. As a by-product of this study, we also examine the related issue of consistency of the QML estimators of the conditional variance parameters under various parameter configurations and alternative distributional assumptions on the innovation process.;

Item Type: IHS Series
Keywords: 'BDS Test' 'Nuisance-Parameter Free Property' 'Monte Carlo Analysis' 'GARCH(1,1) Model' 'QML estimator'
Classification Codes (e.g. JEL): C15, C22
Status: Published
Date Deposited: 26 Sep 2014 10:38
Last Modified: 22 Jul 2017 18:17
URI: http://irihs.ihs.ac.at/id/eprint/1567

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