Exact likelihood inference of the exponential parameter under generalized Type II progressive hybrid censoring

被引:35
作者
Lee, Kyeongjun [1 ]
Sun, Hokeun [1 ]
Cho, Youngseuk [1 ]
机构
[1] Pusan Natl Univ, Dept Stat, Busan, South Korea
关键词
Confidence interval; Exact conditional distribution; Exponential distribution; Generalized Type II progressive hybrid censoring; Maximum likelihood estimator; WEIBULL DISTRIBUTION; STATISTICAL-ANALYSIS;
D O I
10.1016/j.jkss.2015.08.003
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
Type II progressive hybrid censoring schemes (PHCS) have become quite popular in reliability and lifetime-testing studies. However, the drawback of the Type II PHCS is that it might take a very long time in order to complete the life test. In this article, we propose generalized Type II PHCS which provide a guarantee of the time to complete the life test. Also, we consider both exact and approximate inferential procedures based on generalized Type II PHCS when the lifetime distribution of the test items follows an independent and identically distributed (iid) exponential distribution. Given by the exact conditional first moment, bias adjusted MLE is proposed and its distribution is discussed. The results of simulation studies and real data analysis were conducted to evaluate the performance of the proposed method. (C) 2015 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:123 / 136
页数:14
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