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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Indian Inst Technol Patna, Dept Math, Patna, Bihar, IndiaIndian Inst Technol Patna, Dept Math, Patna, Bihar, India
Chandra, Prakash
Mandal, Hemanta Kumar
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Indian Inst Technol Patna, Dept Math, Patna, Bihar, IndiaIndian Inst Technol Patna, Dept Math, Patna, Bihar, India
Mandal, Hemanta Kumar
Tripathi, Yogesh Mani
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Indian Inst Technol Patna, Dept Math, Patna, Bihar, IndiaIndian Inst Technol Patna, Dept Math, Patna, Bihar, India
Tripathi, Yogesh Mani
Wang, Liang
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Yunnan Normal Univ, Sch Math, 768,Juxian Rd, Kunming 650500, Peoples R China
Yunnan Key Lab Modern Analyt Math & Applicat, Kunming, Peoples R ChinaIndian Inst Technol Patna, Dept Math, Patna, Bihar, India