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

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. © 2018, The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden.