Inference for dependent competing risks from bivariate Kumaraswamy distribution under generalized progressive hybrid censoring

被引:11
|
作者
Wang, Liang [1 ,2 ]
Li, Mengyang [2 ]
Tripathi, Yogesh Mani [3 ]
机构
[1] Yunnan Normal Univ, Sch Math, 768 Juxian Rd, Kunming 650500, Yunnan, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian, Peoples R China
[3] Indian Inst Technol Patna, Dept Math, Bihta, India
基金
中国博士后科学基金; 中国国家自然科学基金;
关键词
Dependent competing risks; Generalized progressive hybrid censoring; Bivariate Kumaraswamy distribution; Maximum likelihood estimation; Posterior analysis; Monte-Carlo Simulation; STATISTICAL-ANALYSIS; BAYES ESTIMATION; PARAMETER;
D O I
10.1080/03610918.2019.1708929
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, competing risks model is considered when causes of failure are dependent. When latent failure times are distributed by the Marshall-Olkin bivariate Kumaraswamy model, inference for the unknown model parameters is studied under a generalized progressive hybrid censoring. Maximum likelihood estimates of unknown parameters are established, and the associated existence and uniqueness are provided. The approximate confidence intervals are constructed via the observed Fisher information matrix. Moreover, Bayes estimates and the credible intervals of the unknown parameters are also presented based a flexible Gamma-Dirichlet prior, and the importance sampling method is used to compute associated estimates. Simulation study and a lifetime example are given for illustration purposes.
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页码:3100 / 3123
页数:24
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