一般指数帕累托分布下最大顺序统计量的比较  

Comparisons of the Largest Order Statistics under General Exponential Pareto Distribution

作　　者：杨永红 张正成 YANG Yonghong;ZHANG Zhengcheng(School of Tourism,Hainan Normal University,Haikou,571158,China;School of Mathematics and Statistics,Hainan Normal University,Haikou,571158,China)

机构地区：[1]海南师范大学旅游学院,海口571158 [2]海南师范大学数学与统计学院,海口571158

出　　处：《应用概率统计》2024年第3期365-377,共13页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(Grant No.72161009);the Natural Science Foundation of Hainan Province of China(Grant Nos.122MS057,124MS055).

摘　　要：本文研究了基于齐次指数或者异质指数帕累托分布下样本的最大顺序统计量的随机比较问题,给出了当总体分布关于参数存在某些序条件下最大顺序统计量之间随机比较的一些充分条件.The paper investigates the stochastic comparisons of the largest order statistics based on homogeneous exponential Pareto samples or from heterogeneous exponential Pareto samples.Some suffi-cient conditions are given for the stochastic comparisons between the largest order statistics when the population distributions are ordered with respect to parameters.

关 键 词：最大顺序统计量 指数帕累托分布 似然比顺序 优化序 

分 类 号：O212.1[理学—概率论与数理统计]