Progressive censoring is very important in life-testing exper- iments. Its allowance for the removal of live-units from the
experiment at various strange is an attractive feature as it will potentially save a lot for experimenter in terms of cost and time. In a series of papers, [1–5] discussed the inference problems for a wide range of distributions under this progressive censoring sampling scheme. These developments have been summarized by Cohen and Whitten [6] , and more by Cohen [7] . While most of the above mentioned works were on the maximum likelihood method. Mann, Thomas and Wilson, and Cacciari, and Montanari [8–10] have discussed some linear inferences for the case of progressive Type-II right censoring. Mahmoud et al. [11] have derived approximate moments of progressively Type-II right censored order statistics from the Weibull Gamma distribution and using these moments to derive the best linear unbiased estimates and maximum likelihood estimates. Viveros