非平稳NA序列更新过程的精确渐近性  

Precise Asymptotics for Renewal Processes of Nonstationary NA Sequences

作　　者：高秀娟 邢峰[2] GAO Xiujuan XING Feng(School of Mathematics and Statistics, Baicheng Normal University, Baicheng 137000, Jilin Province, China School of Science, Changchun Institute of Technology, Changchun 130012, China)

机构地区：[1]白城师范学院数学与统计学院,吉林白城137000 [2]长春工程学院理学院,长春130012

出　　处：《吉林大学学报（理学版）》2017年第5期1181-1183,共3页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅"十二五"科学技术研究项目(批准号:吉教科合字[2012]第399号)

摘　　要：设服务时间{X_n,n≥1}为非负非平稳负相伴(NA)随机变量序列,N(t)为由其产生的更新过程.利用NA序列部分和S_n的精确渐近性结果及S_n与N(t)之间的关系{N(t)<n}={S_n>t},证明非平稳NA序列更新过程的精确渐近性.Let the service time{Xn,n≥1}be a nonnegative nonstationary negatively associated（NA）random variable sequence and N（t）be the renewal process generated by {Xn,n≥1}.By the results of the precise asymptotics for the partial sums of NA sequence and the relations between Sn and N（t）,that is {N（t）〈n}= {Sn〉t},we proved the precise asymptotics for renewal processes of nonstationary NA sequences.

关 键 词：非平稳 精确渐近性 更新过程 负相伴(NA)序列 

分 类 号：O211.4[理学—概率论与数理统计]