由强混合序列生成线性过程精确渐近性的一般形式

A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences

LIU Jun¹, DONG Zhishan²,³, ZHANG Yong³

1. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2007-10-10 Revised:1900-01-01 Online:2008-07-26 Published:2008-07-26
Contact: ZHANG Yong

Abstract

Abstract: Using the weak convergence theorem of the linear process generated by strong mixing sequences and the moment inequalities of strong mixing sequences, we otained a general result on precise asymptotics for the partial sums and the maximum of the partial sums of wide range weighted functions and boundary functions. Many important results from the literatures are obtainedeasily as corollaries.

Key words: strong mixing sequence, linear process, precise asymptotics, general result

CLC Number:

O211.4

LIU Jun, DONG Zhishan,, ZHANG Yong. A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences[J].J4, 2008, 46(04): 595-600.

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A General Result on Precise Asymptotics for the Linear Process Generated by Strong Mixing Sequences

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