非平稳NA序列更新过程的精确渐近性

摘要

设服务时间{Xn,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Sn的精确渐近性结果及Sn与N(t)之间的关系{N(t)＜n}={Sn＞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.