On weighted extropies

被引：40

作者：

Balakrishnan, Narayanaswamy ^{[1
]}

Buono, Francesco ^{[2
]}

Longobardi, Maria ^{[3
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[2] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, Naples, Italy

[3] Univ Napoli Federico II, Dipartimento Biol, Naples, Italy

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 18期

关键词：

Extropy; residual lifetime; past lifetime; weighted extropy; bivariate extropy;

D O I：

10.1080/03610926.2020.1860222

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 extropy is a measure of information introduced as dual to entropy. It is a shift-independent information measure just as the entropy. We introduce here the notion of weighted extropy, a shift-dependent information measure which gives higher weights to larger values of random variables. We also study the weighted residual and past extropies as weighted versions of extropy for residual and past lifetimes. Bivariate versions extropy and weighted extropy are also described. Several examples are presented through out to illustrate all the concepts introduced here.

引用

页码：6250 / 6267

页数：18

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