Estimation for mixed exponential distributions under type-II progressively hybrid censored samples

被引：18

作者：

Tian, Yuzhu ^{[1
]}

Zhu, Qianqian ^{[2
]}

Tian, Maozai ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Renmin Univ China, Sch Stat, Beijing 100872, Peoples R China

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2015年 / 89卷

基金：

中国国家自然科学基金;

关键词：

Mixed exponential distribution (MED); Type-II progressively hybrid censoring; EM algorithm; WEIBULL DISTRIBUTION; FINITE MIXTURE; INFERENCE; LIKELIHOOD; PARAMETER; TESTS;

D O I：

10.1016/j.csda.2015.03.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The type-II progressively hybrid censoring scheme can be deemed as a mixture of typeII progressive and hybrid censoring schemes, which has been utilized to analyze lifetime data in the literature for exponential distribution and Weibull distribution and so on, where the experiment terminates at a pre-specified time. However, little attention has been paid to parametric estimation under this censoring scheme for the mixed exponential distribution (MED) model, which is an important model in life data analysis. Based on typeII progressively hybrid censored samples, the estimation problem of the MED is addressed. The closed form of maximum likelihood estimators (MLEs) of unknown parameters using the EM algorithm are obtained. Some Monte Carlo simulations are implemented and a real data set is analyzed to illustrate the performance of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：85 / 96

页数：12

共 36 条

[1] Progressive stress accelerated life tests under finite mixture models
Abdel-Hamid, Alaa H.
AL-Hussaini, Essam K.
[J]. METRIKA, 2007, 66 (02) : 213 - 231
[2] Afify, 2011, J STAT THEORY APPL, V10, P619
[3] AL-Hussaini E. K., 1999, J APPL STAT SCI, V8, P185
[4] Point and interval estimation for a generalized logistic distribution under progressive Type II censoring
Asgharzadeh, A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (09) : 1685 - 1702
[5] Ashour S. K., 1987, APPLIED STOCHASTIC M, V3, P51
[6] Hybrid censoring: Models, inferential results and applications
Balakrishnan, N.
Kundu, Debasis
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 57 (01) : 166 - 209
[7] Inference for the extreme value distribution under progressive Type-II censoring
Balakrishnan, N
Kannan, N
Lin, CT
Wu, SJS
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2004, 74 (01) : 25 - 45
[8] Testing exponentiality based on Kullback-Leibler information with progressively Type-II censored data
Balakrishnan, Narayanaswamy
Rad, Arezou Habibi
Arghami, Naser Reza
[J]. IEEE TRANSACTIONS ON RELIABILITY, 2007, 56 (02) : 301 - 307
[9] Balakrishnan Narayanaswamy, 2000, Progressive censoring: theory, methods, and applications
[10] Estimation for the three-parameter lognormal distribution based on progressively censored data
Basak, Prasanta
Basak, Indrani
Balakrishnan, N.
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2009, 53 (10) : 3580 - 3592

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