杨永红, 张正成. 一般指数帕累托分布下最大顺序统计量的比较[J]. 应用概率统计, 2024, 40(3): 365-377. DOI: 10.3969/j.issn.1001-4268.2024.03.001
引用本文: 杨永红, 张正成. 一般指数帕累托分布下最大顺序统计量的比较[J]. 应用概率统计, 2024, 40(3): 365-377. DOI: 10.3969/j.issn.1001-4268.2024.03.001
YANG Y H, ZHANG Z C. Comparisons of the largest order statistics under general exponential Pareto distribution [J]. Chinese J Appl Probab Statist, 2024, 40(3): 365−377. DOI: 10.3969/j.issn.1001-4268.2024.03.001
Citation: YANG Y H, ZHANG Z C. Comparisons of the largest order statistics under general exponential Pareto distribution [J]. Chinese J Appl Probab Statist, 2024, 40(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*

  • 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 sufficient conditions are given for the stochastic comparisons between the largest order statistics when the population distributions are ordered with respect to parameters.

     

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