Estimation of Order Restricted Location/Scale Parameters of a General Bivariate Distribution Under General Loss function: Some Unified results

11/01/2021

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by   Naresh Garg, et al.

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We consider equivariant estimation of location/scale parameters of a general bivariate distribution, under quite general conditions on underlying distributions and the loss function, when it is known apriori that these parameters satisfy a order restriction. This paper unifies various results in the literature on the inadmissibility of location/scale equivariant estimators and finding their improvements. The usefulness of these unified results and their relation to existing results in the literature are illustrated through various examples.