| 混合指数分布顺序统计量的性质 |
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| 引用本文： | 匡能晖.混合指数分布顺序统计量的性质[J].浙江大学学报(理学版),2011,38(2):135-149. |
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| 作者姓名： | 匡能晖 |
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| 作者单位： | 湖南科技大学,数学与计算科学学院,湖南,湘潭,411201 |
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| 基金项目： | The Project Supported by Scientific Research Fund of Hunan Provincial Education Department(Grant No.08C588) |
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| 摘 要： | 设{Xs,1≤s≤n}独立同分布,X1：n,X2：n,…,Xn：n为其顺序统计量.当Xs服从参数分别为p（0〈p〈1）,λ1,λ2（0〈λ1≤λ2）的混合指数分布时,得到了Xs：n的q（q为正整数）阶原点矩E（Xsq：n）（1≤s≤n）的精确表达式.证明了其顺序统计量的样本间隔不独立,且不同分布.此外还研究了其极端顺序统计量X1：n和Xn：n的渐近分布.
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| 关 键 词： | 混合指数分布 顺序统计量 原点矩 渐近分布 |
On properties of order statistics from the mixed exponential distribution |
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| KUANG Neng-hui.On properties of order statistics from the mixed exponential distribution[J].Journal of Zhejiang University(Sciences Edition),2011,38(2):135-149. |
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| Authors: | KUANG Neng-hui |
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| Institution: | KUANG Neng-hui(School of Mathematics and Computing Science,Hunan University of Science and Technology,Xiangtan 411201,Hunan Province,China) |
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| Abstract: | Let{Xs,1≤s≤N}be independent and identically distributed,and X1:n,X2:n,…,Xn:nbe the corresponding order statistics.When X,follows the mixed exponential distribution with parameters P(0＜P＜1),λ1,λ2(0＜λ1≤λ2),the explicit formulas for the q order origin moments of Xs2n are obtained(q is a positive integer and 1≤s≤n).It is proved that the sample intervals of their order statistics are not independent and not identically distributed.What's more,the asymptotic distributions of their extreme order statistics X1sn,and Xn:n are discussed. |
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| Keywords: | the mixed exponential distribution order statistic origin moment asymptotic distribution |
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