ORDER STATISTICS FROM HETEROGENOUS NEGATIVE BINOMIAL RANDOM VARIABLES
ORDER STATISTICS FROM HETEROGENOUS NEGATIVE BINOMIAL RANDOM VARIABLES
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DOI：
10.1017/s0269964811000118
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发表时间：
2011-07
影响因子：
1.1
通讯作者：
Maochao Xu;Taizhong Hu
中科院分区：
文献类型：
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作者：
Maochao Xu;Taizhong Hu
本文研究了异质负二项随机变量的顺序统计量。给出了按照通常的随机顺序比较极值顺序统计量的充分条件。对于几何分布的特殊情况，建立了多元随机序意义下比较序统计量的一个充分条件。文中还介绍了它在泊松-伽马激波模型和冗余系统中的应用。
In this article, we study the order statistics from heterogenous negative binomial random variables. Sufficient conditions are provided for comparing the extreme order statistics according to the usual stochastic order. For the special case of geometric distribution, a sufficient condition is established for comparing order statistics in the sense of multivariate stochastic order. Applications in the Poisson–Gamma shock model and redundant systems have been described as well.