变换广义Gamma分布的随机比较  

Stochastic Comparisons of Generalized Gamma Distribution

作　　者：王丰效 

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《吉林师范大学学报（自然科学版）》2016年第2期50-53,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：广东省科技计划项目(2014A020209087);喀什大学高层次人才项目(GCC15ZK-007)

摘　　要：广义Gamma分布是一类重要的概率分布,讨论变换广义Gamma分布的随机比较.给出了两个相互独立但不同分布的变换广义Gamma分布随机变量满足随机序时其分布所含参数间的相应关系.也给出了两组相互独立但不同分布的变换广义Gamma分布随机变量次序统计量之间的随机序关系.The generalized Gamma distribution was a kind of important probability distribution. The stochastic comparisons of the transformation generalized Gamma distribution were discussed. Two independent random variables that come from transform gamma distribution were compared in the usual stochastic order and likelihood ratio order. The relationship between the parameters of the cumulative distribution functions was derived when the random variables had the orders above. The relationship of the order statistics that come from two groups of independent transform gamma distribution random variables was given.

关 键 词：随机序 随机比较 变换广义Gamma分布 次序统计量 

分 类 号：O211.5[理学—概率论与数理统计]