Weighted extropies and past extropy of order statistics and k-record values

被引：18

作者：

Bansal, Shilpa ^{[1
]}

Gupta, Nitin ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 17期

关键词：

Extropy; k-record values; order statistics; residual extropy;

D O I：

10.1080/03610926.2020.1853773

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：

In addition to entropy, extropy - the complementary dual of entropy has also gained importance as a measure of information in many areas. Extropy of order statistics, record values and mixed systems, residual extropy properties of k record values, past extropy have been extensively studied in literature. In this paper, we propose length (size) biased shift dependent measures of uncertainty i.e., weighted extropy and weighted residual extropy and study their monotone properties, characterization results, and some other properties in the case of order statistics and k-record values. We also discuss these studies for the past extropy measure.

引用

页码：6091 / 6108

页数：18