| 离散型随机变量幂赋范最大值的极限分布 |
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| 引用本文： | 帅玉亮,彭作祥.离散型随机变量幂赋范最大值的极限分布[J].西南师范大学学报(自然科学版),2012,37(1):16-19. |
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| 作者姓名： | 帅玉亮 彭作祥 |
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| 作者单位： | 西南大学数学与统计学院 |
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| 基金项目： | 重庆市首届高校人才基金资助项目(120060-20600204) |
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| 摘 要： | (Xn)为独立同分布离散型随机变量序列,Mn=max(X1,…,Xn).当离散型随机变量分布的参数随n适当变化时,得到了|Mn/αn|1/βnsign(Mn)的极限分布,并应用于6种常见离散型分布.
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| 关 键 词： | 最大值极限分布 幂赋范 离散型随机变量 |
Limiting Distributions of Maxima of Discrete Random Variables under Power Normalization |
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| SHUAI Yu-liang,PENG Zuo-xiang.Limiting Distributions of Maxima of Discrete Random Variables under Power Normalization[J].Journal of Southwest China Normal University(Natural Science),2012,37(1):16-19. |
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| Authors: | SHUAI Yu-liang PENG Zuo-xiang |
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| Institution: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | Let(Xn) be a sequence of independent and identically distributed discrete random variable,denoted by Mn=max(X1,…,Xn),the partial maximum.The limiting distributions of |Mn/αn|1/βnsign(Mn) are studied as the related parameters of discrete distributions varying as n∞.Six families of discrete distributions are given to illustrate the results. |
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| Keywords: | limiting distribution of maxima power normalization discrete random variable |
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