Statistical analysis of generalized exponential distribution under progressive censoring with binomial removals

摘要

The estimation of generalized exponential distribution based on progressive censoring with binomial removals is presented,where the number of units removed at each failure time follows a binomial distribution.Maximum likelihood estimators of the parameters and their confidence intervals are derived.The expected time required to complete the life test under this censoring scheme is investigated.Finally,the numerical examples are given to illustrate some theoretical results by means of Monte-Carlo simulation.