Survival estimation in xgamma distribution under progressively type-Ⅱ right censored scheme

摘要

In this article, we have investigated some further distributional properties (such as, characteristic and generating functions, distributions of extreme order statistics, important entropy measures) and some additional survival and/or reliability characteristics (such as, time to failure, ageing intensity, stress-strength reliability) of one parameter xgamma distribution which serves as an useful survival model. We also studied the estimation procedures of the model parameter and its important survival characteristics considering maximum likelihood and Bayesian techniques under progressively type-II right censoring scheme. Interval estimation and coverage probability for the parameter were obtained based on maximum likelihood estimation. A Monte-Carlo simulation study was conducted to compare performance of the various estimates. Progressively type-II censoring scheme was considered in view of cost and time constraints. A real data were also analyzed for illustrating the methods described in the paper.