<p><p> In this paper, assuming that sample is obtained through progressive Type II right censoring scheme, we obtain Minimum </p> <div>Risk Equivariant(MRE) estimator for the parameter of the uniform model in three situations based on the recent results </div> <div>of Leo Alexander andChandrasekar(1999a) obtained for Type–II right censored sample . The paper is organized as </div> <div>follows: Section 2 deals with the problem of equivariant estimation under Squared error loss function, Absolute error loss function and Linex loss </div> <div>function (Varian, 1975).</div></p>