Measures of information in order statistics and their concomitants for the single iterated Farlie-Gumbel-Morgenstern bivariate distribution

被引：22

作者：

Barakat, Haroon M. ^{[1
]}

Nigm, El-Sayed M. ^{[1
]}

Husseiny, Islam A. ^{[1
]}

机构：

[1] Zagazig Univ, Fac Sci, Dept Math, Ash Sharqiyah, Egypt

来源：

MATHEMATICAL POPULATION STUDIES | 2021年 / 28卷 / 03期

关键词：

Concomitants; Fisher information; iterated Farlie-Gumbel-Morgenstern distribution; order statistics; Shannon entropy; FISHER INFORMATION;

D O I：

10.1080/08898480.2020.1767926

中图分类号：

C921 [人口统计学];

学科分类号：

摘要：

The Fisher information matrix related to an order statistic and its concomitant used to order a bivariate random sample are obtained in the case of the shape-parameter vector of an iterated Farlie-Gumbel-Morgenstern bivariate distribution. They contain information conveyed by singly or multiply censored bivariate samples drawn from an iterated Farlie-Gumbel-Morgenstern bivariate distribution. Fisher information is computed for the mean of the exponential distribution in the concomitant of an order statistic. Shannon entropy in the order statistics and their concomitants based on the iterated Farlie-Gumbel-Morgenstern bivariate distribution are derived.

引用

页码：154 / 175

页数：22

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