The Exact Hypothesis Test for the Shape Parameter of the Burr-XII Distribution under Progressive Censoring with Random Removals

This study considers the exact hypothesis test for the shape parameter of the Burr-XII 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. Several test statistics are proposed and one numerical example is given to illustrate the proposed hypothesis test when the scale parameter is considered as the nuisance parameter. At last, a simulation study is done to compare the power performances of all proposed test statistics.This study considers the exact hypothesis test for the shape parameter of the Burr-XII 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. Several test statistics are proposed and one numerical example is given to illustrate the proposed hypothesis test when the scale parameter is considered as the nuisance parameter. At last, a simulation study is done to compare the power performances of all proposed test statistics.國內EI紙本TW