期刊名称:COWLES Foundation Discussion Paper / Cowles Foundation for Research in Economics
出版年度:2001
卷号:2001
期号:1
出版社:Yale University
摘要: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.