Statistical analysis of generalized exponential distribution under progressive censoring with binomial removals

被引:7
|
作者
Yan, Weian [1 ,2 ]
Shi, Yimin [1 ]
Song, Baowei [2 ]
Mao, Zhaoyong [2 ]
机构
[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China
[2] NW Polytech Univ, Coll Marine Engn, Xian 710072, Peoples R China
基金
中国国家自然科学基金;
关键词
binomial removal; progressive censoring; maximum likelihood estimator; expected experiment time; generalized exponential distribution; PARETO DISTRIBUTION; WEIBULL; INFERENCE; LIKELIHOOD; RECORDS; SAMPLES; FAMILY;
D O I
10.3969/j.issn.1004-4132.2011.04.022
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The estimation of generalized exponential distribution based on progressive censoring with binomial removals is presented, where the number of units removed at each failure time follows a binomial distribution. Maximum likelihood estimators of the parameters and their confidence intervals are derived. The expected time required to complete the life test under this censoring scheme is investigated. Finally, the numerical examples are given to illustrate some theoretical results by means of Monte-Carlo simulation.
引用
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页码:707 / 714
页数:8
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