Almost sure limit theorem for the maximum of a class of quasi-stationary sequences

Almost sure limit theorem for the maximum of a class of quasi-stationary sequences

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摘要 This paper investigates the problem of almost sure limit theorem for the maximum of quasi-stationary sequence based on the result of Turkman and Walker. We prove an almost sure limit theorem for the maximum of a class of quasi-stationary sequence under weak dependence conditions of D （uk, un） and αtm,ln = 0 （（log log n）-（1＋ε））. This paper investigates the problem of almost sure limit theorem for the maximum of quasi-stationary sequence based on the result of Turkman and Walker. We prove an almost sure limit theorem for the maximum of a class of quasi-stationary sequence under weak dependence conditions of D （uk, un） and αtm,ln = 0 （（log log n）-（1＋ε））.

作者 ZHUANG Guang-ming PENG Zuo-xiang

机构地区 School of Mathematical Sciences School of Automation School of Mathematics and Statistics

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2014年第1期44-52,共9页 高校应用数学学报（英文版）（B辑）

基金 Project supported by the National Natural Science Foundation of China(11171275) the Natural Science Foundation Project of CQ(cstc2012jjA00029) Liaocheng University Foundation(X09005)

关键词 quasi-stationary sequence MAXIMUM limit distribution almost sure central limit theorem quasi-stationary sequence,maximum,limit distribution,almost sure central limit theorem

分类号 O211.4 [理学—概率论与数理统计]

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Applied Mathematics(A Journal of Chinese Universities)

2014年第1期

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Almost sure limit theorem for the maximum of a class of quasi-stationary sequences

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