Estimations of the Parameters of the Weibull Distribution with Progressively Censored Data

In this study, we consider a censoring scheme called progressive type-II censoring. Under this scheme, n units are placed on a test at time zero, with m failures to be observed. When the first failure is observed, r1 of the surviving units are randomly selected and removed. At the second observed failure, r2 of the surviving units are randomly selected and removed. This experiment stops at the time when the m-th failure is observed and the remaining rm = n− r1 − r2 − · · · − rm−1 −m surviving units are all removed. The statistical inference for the Weibull distribution under progressive type-II censoring has been investigated by several authors such as Mann (1969, 1971), Cohen (1975),