广义正态分布次序统计量的随机序比较（英文）  

Stochastic Comparisons of Order Statistics from Generalized Normal Distributions

作　　者：丁盈[1] 张新生[2] DING Ying;ZHANG XinSheng(Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, China;Department of Statistics, School of Management, Fudan University, Shanghai, 200433, China)

机构地区：[1]浙江工业大学应用数学系,杭州310023 [2]复旦大学管理学院统计系,上海200433

出　　处：《应用概率统计》2017年第6期591-607,共17页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the Zhejiang Provincial Natural Science Foundation(Grant No.LQ16A010008);the National Natural Science Foundation of China(Grant Nos.11601483;11571080)

摘　　要：本文研究了广义正态分布的次序统计量的随机序关系,通过参数矩阵和参数向量优化序给出了随机序关系成立的充分条件,并证明这些条件在某些情形下也是必要条件.In this paper,we study the stochastic comparisons of order statistics from generalized normal distributions.We obtain some sufficient conditions for ordering results based on parameter matrix and vector majorization comparisons.These conditions are necessary in some cases.

关 键 词：次序统计量 广义正态分布 优化序 

分 类 号：O212.4[理学—概率论与数理统计]