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.
作者
丁盈
张新生
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)
出处
《应用概率统计》
CSCD
北大核心
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)
关键词
次序统计量
广义正态分布
优化序
order statistics
generalized normal distribution
majorization
