Bayesian inference for Poisson-inverse exponential distribution under progressive type-II censoring with binomial removal

Manoj Kumar (), Sanjay Kumar Singh and Umesh Singh
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Manoj Kumar: Central University of Haryana
Sanjay Kumar Singh: Banaras Hindu University
Umesh Singh: Banaras Hindu University

International Journal of System Assurance Engineering and Management, 2018, vol. 9, issue 6, No 1, 1235-1249

Abstract: Abstract This paper proposes a Poisson-inverse exponential distribution (PIED) as a lifetime model with initially increasing then decreasing failure model. Its statistical characteristics and important distributional properties are discussed along with its reliability and failure rate function. The maximum likelihood estimators (MLEs) and Bayes estimators of parameters of PIED under symmetric and asymmetric loss functions for progressive type-II censored data with binomial removals have been obtained. The MLEs and corresponding Bayes estimators are compared in terms of their simulated risks. The proposed methodology is illustrated through a real data set of bladder cancer.

Keywords: PIED; PT-II CBRs; SELF; GELF (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13198-018-0704-2

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