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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
【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.
【Abstract】 Let the service time{X_n,n≥1}be a nonnegative nonstationary negatively associated(NA)random variable sequence and N(t)be the renewal process generated by {X_n,n≥1}.By the results of the precise asymptotics for the partial sums of NA sequence and the relations between S_n and N(t),that is {N(t)<n}= {S_n>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;
【Key words】 nonstationary; precise asymptotics; renewal process; negatively associated(NA)sequence;
【Key words】 nonstationary; precise asymptotics; renewal process; negatively associated(NA)sequence;
【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)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2017年05期
- 【分类号】O211
- 【被引频次】2
- 【下载频次】18