应用概率统计2024,Vol.40Issue(3) :365-377.DOI:10.3969/j.issn.1001-4268.2024.03.001

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

杨永红 张正成
应用概率统计2024,Vol.40Issue(3) :365-377.DOI:10.3969/j.issn.1001-4268.2024.03.001

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

杨永红 1张正成2
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作者信息

  • 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
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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.

Abstract

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

Key words

the largest order statistics/exponential Pareto distribution/likelihood ratio order/majorization order

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基金项目

National Natural Science Foundation of China(72161009)

Natural Science Foundation of Hainan Province of China(122MS057)

Natural Science Foundation of Hainan Province of China(124MS055)

出版年

2024
应用概率统计
中国数学会概率统计学会

应用概率统计

CSTPCDCSCD北大核心
影响因子:0.263
ISSN:1001-4268
参考文献量30
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