On partially observed competing risks model for Chen distribution under generalized progressive hybrid censoring

被引:2
|
作者
Singh, Kundan [1 ]
Mahto, Amulya Kumar [2 ,3 ]
Tripathi, Yogesh Mani [1 ]
机构
[1] Indian Inst Technol Patna, Dept Math, Bihta, India
[2] Indian Inst Technol Mandi, Sch Math & Stat Sci, Kamand, India
[3] Indian Inst Technol Mandi, Sch Math & Stat Sci, Kamand 175005, India
关键词
asymptotic confidence interval; Bayes estimates; Chen distribution; competing risk model; generalized progressive hybrid censoring; maximum likelihood estimation; MCMC algorithm; LIFETIME DISTRIBUTION; WEIBULL DISTRIBUTION; BATHTUB SHAPE; INFERENCE; PARAMETERS;
D O I
10.1111/stan.12308
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
In this paper, we discuss the inference for the competing risks model when the failure times follow Chen distribution. With assumption of two causes of failures, which are partially observed, are considered as independent. The existence and uniqueness of maximum likelihood estimates for model parameters are obtained under generalized progressive hybrid censoring. Also, we discussed the classical and Bayesian inferences of the model parameters under the assumption of restricted and nonrestricted parameters. Performance of classical point and interval estimators are compared with Bayesian point and interval estimators by conducting extensive simulation study. In addition to that, for illustration purpose, a real life example is discussed. Finally, some concluding remarks, regarding the presented model, are made.
引用
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页码:105 / 135
页数:31
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