Validity of the Parametric Bootstrap for Goodness-of-Fit Testing in Dynamic Models

43 Pages Posted: 30 Nov 2011

See all articles by Bruno Remillard

Bruno Remillard

Department of Decision Sciences, HEC Montreal

Date Written: November 30, 2011

Abstract

It is shown that parametric bootstrap can be used for computing P-values of goodness-of-fit tests of multivariate time series parametric models. These models include Markovian models, GARCH models with non-Gaussian innovations, regime-switching models, as well as semi parametric models involving copulas of multivariate time series. The methodology is intuitive, easy to implement, and provides an interesting alternative to Khmaladze's transform or other projection methods.

Keywords: Time series, Goodness-of-fit test, Monte Carlo simulation, Parametric bootstrap, HMM, GARCH, Copulas

JEL Classification: C52, C32, C14, C15

Suggested Citation

Remillard, Bruno, Validity of the Parametric Bootstrap for Goodness-of-Fit Testing in Dynamic Models (November 30, 2011). Available at SSRN: https://ssrn.com/abstract=1966476 or http://dx.doi.org/10.2139/ssrn.1966476

Bruno Remillard (Contact Author)

Department of Decision Sciences, HEC Montreal ( email )

3000 Côte-Sainte-Catherine Road
Montreal, QC H2S1L4
Canada
514-340-6794 (Phone)

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