Characterizations of symmetric distributions based on Renyi entropy

被引：39

作者：

Fashandi, M. ^{[1
]}

Ahmadi, Jafar ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Stat, Ordered & Spatial Data Ctr Excellence, Mashhad, Iran

来源：

STATISTICS & PROBABILITY LETTERS | 2012年 / 82卷 / 04期

关键词：

Muntz-Szasz theorem; Farlie-Gumbel-Morgenstern (FGM) family; k-records; Concomitant; Shannon information; ORDER-STATISTICS; FISHER INFORMATION; HAZARD FUNCTION; FACTORIZATION;

D O I：

10.1016/j.spl.2012.01.004

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：

It is proved that the equality of Renyi entropies of upper and lower order statistics as well as upper and lower k-records is a characteristic property of symmetric distributions. Also, for Farlie-Gumbel-Morgenstern (FGM) family, it is shown that under some conditions the equality of entropies of concomitants of upper and lower order statistics as well as concomitants of upper and lower record values is a characteristic property for the uniform distribution. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：798 / 804

页数：7

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