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  • 标题:"Asymptotic Theory for Multivariate GARCH Processes"
  • 本地全文:下载
  • 作者:F. Comte
  • 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.
  • 关键词:Asymptotic normality; BEKK; Consistency; GARCH; Martingale CLT
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