Characterizations Based on Cumulative Residual Entropy of First-Order Statistics

被引：32

作者：

Baratpour, S. ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Sch Math Sci, Dept Stat, Mashhad, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2010年 / 39卷 / 20期

关键词：

Cumulative residual entropy; Order statistics; Residual lifetime distribution; Shannon information; Series system; Weibull family; ORDER-STATISTICS;

D O I：

10.1080/03610920903324841

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：

Two different distributions may have equal cumulative residual entropy (CRE), thus a distribution cannot be determined by its CRE. In this article, we explore properties of the CRE and study conditions under which the CRE of the first-order statistics can uniquely determines the parent distribution. Weibull family is characterized through ratio of the CRE of the first-order statistics to its expectation. We have also some bounds for the CRE of residual lifetime of a series system.

引用

页码：3645 / 3651

页数：7

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