J4 ›› 2010, Vol. 48 ›› Issue (02): 201-206.

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symptotic Properties of M-Estimation of the ARCH(0,q) Model

XIAN Wei1,2, SONG Lixin3, LAI Min1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Science, Changchun University of Science and Technology, Changchun 130022, China;3. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China
  • Received:2009-07-25 Online:2010-03-26 Published:2010-03-22
  • Contact: LAI Min E-mail:laimin@jlu.edu.cn

Abstract:

Under a new criterion function, we proved the consistency of M-estimation of parameter of ARCH(0,q) model via the ergodic theorem, and we used central limit theorem for martingale to prove the asymptotic normality of Mestimation.

Key words: ARCH(0,q) model, ergodicity, M-estimation, consistency, asymptotic normality

CLC Number: 

  • O212