| 具有随机足标的平稳正态序列的部分和与最大值的联合极限分布 |
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| 引用本文： | 吴松林,陈体英.具有随机足标的平稳正态序列的部分和与最大值的联合极限分布[J].西南师范大学学报(自然科学版),2003,28(5):730-733. |
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| 作者姓名： | 吴松林 陈体英 |
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| 作者单位： | 1. 后勤工程学院,基础部,重庆,400016
2. 西南师范大学附属中学,数学组,重庆,400700 |
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| 摘 要： | 设X1，X2，…为标准化平稳正态序列，相关系数ρli-j1=EXiXj(i≠j），N（n）为取正整数的随机变量且N（n）/n P→η，η为大于0的随机变量．得到了：当ρnlog n→γ∈(0，∞)时，最大值MN（n）和部分和SN(n)的联合极限分布．
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| 关 键 词： | 平稳正态序列 随机足标 最大值 部分和 联合极限分布 随机变量 |
| 文章编号： | 1000-5471(2003)05-0730-04 |
| 修稿时间： | 2002年12月23 |
On the Joint Limiting Distribution of the Partial Sum and Maximum of Strongly Dependent Stationary Normal Sequence with Random Sample Size |
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| WU Song-lin,CHEN Ti-ying . Dept. of Foundations,Logistics Engineering University,Chongqing ,China, . Group of Mathematics,the Attached Middle School of Southwest China Normal University,Chongqing ,China.On the Joint Limiting Distribution of the Partial Sum and Maximum of Strongly Dependent Stationary Normal Sequence with Random Sample Size[J].Journal of Southwest China Normal University(Natural Science),2003,28(5):730-733. |
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| Authors: | WU Song-lin CHEN Ti-ying Dept of Foundations Logistics Engineering University Chongqing China Group of Mathematics the Attached Middle School of Southwest China Normal University Chongqing China |
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| Institution: | WU Song-lin~1,CHEN Ti-ying~2 1. Dept. of Foundations,Logistics Engineering University,Chongqing 400016,China, 2. Group of Mathematics,the Attached Middle School of Southwest China Normal University,Chongqing 400700,China |
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| Abstract: | |
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| Keywords: | stationary normal sequence random sample size maximum partial sum |
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