An ordered approach on cumulative extropy measures for information analysis

被引：5

作者：

Jose, Jitto ^{[1
]}

Sathar, E. I. Abdul ^{[1
]}

机构：

[1] Univ Kerala, Dept Stat, Thiruvananthapuram 695581, Kerala, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 05期

关键词：

Survival extropy; failure extropy; dynamic survival extropy; dynamic failure extropy; order statistics; ENTROPY;

D O I：

10.1080/03610926.2021.1928706

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The present study focus on the ordered approach of random variables in the analysis of uncertainty using cumulative extropy and its dynamic versions. Some important results regarding bounds, aging properties and orderings of cumulative extropy measures based on order statistics have been discussed. The study also presents characterizations of some probability distribution, identical distribution of random variables and symmetry of a probability distribution using cumulative extropy measures based on extreme order statistics. Further, a simple empirical estimator has been proposed to estimate dynamic failure extropy using a real life data set.

引用

页码：1512 / 1532

页数：21

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