| 非平稳NA序列更新过程的精确渐近性 |
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| 引用本文： | 高秀娟,邢峰.非平稳NA序列更新过程的精确渐近性[J].吉林大学学报(理学版),2017,55(5):1181-1183. |
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| 作者姓名： | 高秀娟 邢峰 |
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| 作者单位： | 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 |
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| 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_nt},证明非平稳NA序列更新过程的精确渐近性.
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| 关 键 词： | 更新过程 精确渐近性 负相伴（NA）序列 非平稳 |
| 收稿时间： | 2016-09-26 |
Precise Asymptotics for Renewal Processes of Nonstationary NA Sequences |
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| GAO Xiujuan,XING Feng.Precise Asymptotics for Renewal Processes of Nonstationary NA Sequences[J].Journal of Jilin University: Sci Ed,2017,55(5):1181-1183. |
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| Authors: | GAO Xiujuan XING Feng |
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| Institution: | 1. School of Mathematics and Statistics, Baicheng Normal University, Baicheng 137000, Jilin Province, China;2. School of Science, Changchun Institute of Technology, Changchun 130012, China |
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| Abstract: | 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 ofthe precise asymptotics for the partial sums of NA sequence and therelations between Sn and N(t), that is {N(t)n>t}, we proved the precise asymptotics for renewal processes of nonstationary NA sequences. |
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| Keywords: | precise asymptotics renewal process nonstationary negatively associated (NA) sequence |
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