Title

Asymptotic Theory for Multivariate GARCH Processes

Document Type

Discussion Paper

Publication Date

12-1-2001

CFDP Number

1349

CFDP Pages

23

Abstract

We provide in this paper asymptotic theory for the multivariate GARCH (p,q) process. Strong consistency of the quasi-maximum likelihood estimator (MLE) is established by appealing to conditions given in Jeantheau [19] in conjunction with a result given by Boussama [9] concerning the existence of a stationary and ergodic solution to the multivariate GARCH (p,q) process. We prove asymptotic normality of the quasi-MLE when the initial state is either stationary or fixed.

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