Bounds of expectations of order statistics for distributions possessing monotone reversed failure rates

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Metrika Pub Date : 2024-05-24 DOI:10.1007/s00184-024-00968-y

Agnieszka Goroncy, Tomasz Rychlik

引用次数: 0

Abstract

In the literature, the sharp positive upper mean-variance bounds on the expectations of order statistics based on independent identically distributed random variables with the decreasing and increasing failure rates, have been recently presented. In this paper we determine analogous evaluations in the dual cases when the parent distributions have monotone reversed failure rates.

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具有单调反向失败率的分布的阶次统计期望值的边界

在文献中，最近提出了基于失效率递减和递增的独立同分布随机变量的阶次统计期望的锐正均方差上界。在本文中，我们确定了当父分布具有单调反向失效率时，在对偶情况下的类似求值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Metrika 数学-统计学与概率论

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Metrika is an international journal for theoretical and applied statistics. Metrika publishes original research papers in the field of mathematical statistics and statistical methods. Great importance is attached to new developments in theoretical statistics, statistical modeling and to actual innovative applicability of the proposed statistical methods and results. Topics of interest include, without being limited to, multivariate analysis, high dimensional statistics and nonparametric statistics; categorical data analysis and latent variable models; reliability, lifetime data analysis and statistics in engineering sciences.