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

作　　者：ZHUANG Guang-ming PENG Zuo-xiang 

机构地区：[1]School of Mathematical Sciences,Liaocheng University [2]School of Automation,Nanjing University of Science and Technology [3]School of Mathematics and Statistics,Southwest University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》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)

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））.

关 键 词：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]