| 离散型随机变量序列最大值的收敛速度 |
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| 引用本文： | 张耿,陈守全,王超.离散型随机变量序列最大值的收敛速度[J].西南师范大学学报(自然科学版),2012,37(1):11-15. |
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| 作者姓名： | 张耿 陈守全 王超 |
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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： | 设X1,X2,…,Xn是独立同分布离散型随机变量序列,Mn=max{X1,X2,…,Xn}.当n→∞时,(Mn-bn)/an的极限分布已知.然而,当离散分布的参数随着n而变化时,有可能得到它的非退化极限分布及其收敛速度.研究了3类离散型随机变量序列最大值的收敛速度.
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| 关 键 词： | 均匀分布 二项分布 泊松分布 最大值 收敛速度 |
Rate of Convergence of Maxima of Discrete Random Variables |
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| ZHANG Geng,CHEN Shou-quan,WANG Chao.Rate of Convergence of Maxima of Discrete Random Variables[J].Journal of Southwest China Normal University(Natural Science),2012,37(1):11-15. |
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| Authors: | ZHANG Geng CHEN Shou-quan WANG Chao |
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| Institution: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | Let X1,X2,…,Xn be a sequence of independent and identically distributed discrete random variables and Mn=max{X1,X2,…,Xn}.We have known the limiting behavior of Mn-bn an as n∞.However,by tuning the parameter of the discrete distribution to vary as n∞,it is possible to obtain the non-degenerate rate of convergence for Mn-bn an.We consider the rate of convergence of the maxima of three families of discrete random variables in this paper. |
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| Keywords: | uniform distribution binomial distribution Poisson distribution maximum rate of convergence |
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