MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals

摘要

This study considers the estimation of two-parameter Gompertz distribution under Type II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial or a uniform distribution. The maximum likelihood estimates of two parameters and their asymptotic distribution are derived. The expected termination point to complete the censoring test is computed and analyzed for different censoring schemes. For binomial removals, the effect of various p on the expected termination point under progressive censoring and the relative expected termination point over the complete sample (REET1) are investigated in this article. For random removals (PCR), the expected termination point is computed and the relative expected termination point over the complete sample (REET2) are also investigated.