Estimation for the two-parameter pareto distribution under progressive censoring with uniform removals

This study considers the estimation problem for the Pareto distribution based on progressive Type II censoring with random removals, where the number of units removed at each failure time has a uniform distribution. We use the maximum likelihood method to obtain the estimators of parameters and the distributions of the estimators are derived. We also construct the confidence intervals for the parameters and percentile of the lifetime distribution. The expected time required to complete this censoring test is computed. Some numerical results of expected test times are carried out for this type of progressive censoring and other sampling schemes.