Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics

被引：11

作者：

Kumar, Devendra ^{[1
]}

Malik, Mansoor Rashid ^{[2
]}

Dey, Sanku ^{[3
]}

Shahbaz, Muhammad Qaiser ^{[4
]}

机构：

[1] Cent Univ Haryana, Dept Stat, Mahendergarh, India

[2] Amity Univ, Dept Stat, Noida, India

[3] St Anthonys Coll, Dept Stat, Shillong, Meghalaya, India

[4] King Abdulaziz Univ, Dept Stat, Jeddah, Saudi Arabia

来源：

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

关键词：

Progressive Type-II right-censored order statistics; Single moments; Product moments; Recurrence relations; Extended exponential distribution;

D O I：

10.2991/jsta.d.190514.003

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：

In this article we derive the recurrence relations for the single and product moments based on progressively Type-II right-censored order statistics for the extended exponential (EE) distribution. The estimation of the model parameters under progressively Type-II right-censored order statistics are obtained by maximum likelihood method. Furthermore, Monte Carlo simulation study has been carried out to compare the performances of the proposed method. Finally, a real data set has been analyed for illustrative purposes. (C) 2019 The Authors. Published by Atlantis Press SARL.

引用

页码：171 / 181

页数：11

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