Estimation using hybrid censored data from a generalized inverted exponential distribution

被引:9
|
作者
Tripathi, Yogesh Mani [1 ]
Rastogi, Manoj Kumar [1 ]
机构
[1] Indian Inst Technol Patna, Dept Math, Patna 800013, Bihar, India
关键词
Bayes estimates; EM algorithm; Entropy loss function; Hybrid Type I censoring; Importance sampling; Maximum likelihood estimates; EM ALGORITHM; RELIABILITY ESTIMATION; WEIBULL DISTRIBUTION; PARAMETERS; INFERENCE; LIFE;
D O I
10.1080/03610926.2014.932805
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
We consider point and interval estimation of the unknown parameters of a generalized inverted exponential distribution in the presence of hybrid censoring. The maximum likelihood estimates are obtained using EM algorithm. We then compute Fisher information matrix using the missing value principle. Bayes estimates are derived under squared error and general entropy loss functions. Furthermore, approximate Bayes estimates are obtained using Tierney and Kadane method as well as using importance sampling approach. Asymptotic and highest posterior density intervals are also constructed. Proposed estimates are compared numerically using Monte Carlo simulations and a real data set is analyzed for illustrative purposes.
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页码:4858 / 4873
页数:16
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