Residual extropy in ranked set sampling: Properties, comparative analysis, and estimation

被引：0

作者：

Qiua, Guoxin ^{[1
]}

Raqab, Mohammad Z. ^{[2
,3
]}

Alkhezi, Hajar M. ^{[2
]}

机构：

[1] Xinhua Univ Anhui, Dept Business Adm, Hefei, Peoples R China

[2] Kuwait Univ, Dept Stat & Operat Res, Al Shadadiyah, Kuwait

[3] Univ Jordan, Dept Math, Amman, Jordan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2025年 / 54卷 / 13期

关键词：

Extropy; inequalities; order statistics; ranked set sampling; simple random sample; ORDER-STATISTICS; ENTROPY; POPULATION;

D O I：

10.1080/03610926.2024.2413853

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：

Ranked set sampling (RSS) has gained significant significance in numerous practical domains, such as environmental and ecological studies, and statistical genetics. This article focuses on investigating the concept of extropy as a measure of residual uncertainty in RSS. It is devoted to discussing various monotone properties and characterization results associated with the residual extropy of RSS. Additionally, a comparative analysis is conducted between the residual extropy of RSS and its counterpart in simple random sampling. Optimal minima and maxima values for the residual extropy of RSS are determined. To further contribute to the field, a consistent estimator for the residual extropy of RSS is proposed. The effectiveness of this estimator is demonstrated through three illustrative examples, highlighting its performance in practical scenarios.

引用

页码：4141 / 4161

页数：21

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