Generalized Order Statistics from Marshall-Olkin Extended Exponential Distribution

被引：5

作者：

Athar, Haseeb ^{[1
]}

Nayabuddin ^{[2
]}

Zarrin, Saima ^{[3
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, Al Madinah, Saudi Arabia

[2] Jazan Univ, Fac Publ Hlth & Trop Med, Dept Epidemiol, Jizan, Saudi Arabia

[3] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh, Uttar Pradesh, India

来源：

JOURNAL OF STATISTICAL THEORY AND APPLICATIONS | 2019年 / 18卷 / 02期

关键词：

Generalized order statistics; order statistics; record values; marginal moment generating function; joint moment generating function; Marshall-Olkin extended exponential distribution; characterization;

D O I：

10.2991/jsta.d.190515.001

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：

A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641-652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall-Olkin extended distribution. In this paper some recurrence relations for marginal and joint moment generating function of generalized order statistics from Marshall-Olkin extended exponential distribution are derived, and the characterization results are presented. Further, the results are deduced for order statistics and record values. (c) 2019 The Authors. Published by Atlantis Press SARL. This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

引用

页码：129 / 135

页数：7

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