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
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.
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页码:85 / 96
页数:12
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