J4 ›› 2011, Vol. 49 ›› Issue (01): 27-32.

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General Result on Precise Asymptotics for Moving AverageProcesses of m-Dependent BValued Elements

TAN Xili1, XING Nan1,2, DONG Zhishan3   

  1. 1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. Department of Foundation, Guanghua College, Changchun University, Changchun 130031, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2010-03-02 Online:2011-01-26 Published:2011-02-19
  • Contact: TAN Xili E-mail:tanxl0832@sina.com

Abstract:

Using the weak convergence theorem and moment inequality, we studied a general law of precise asymptotics of {Sn}.

Key words: m-dependent random element, moving average processes, precise asymptotics

CLC Number: 

  • O211.4