Inadmissibility results for the selected hazard rates

Let us consider k(?2) independent populations ?1,…,?k, where ?i follows exponential distribution with hazard rate ?i, (i=1,…,k). Suppose Yi1,…,Yin be a random sample of size n drawn from the ith population ?i, i=1,…,k. For i=1,…,k, Yi=?j=1nYij. The natural selection rule is to select associated largest mean. That is, (i=1,…,k) selected if Yi=max(Y1,…,Yk). Based on this rule, chosen. Then, we estimation respect entropy loss function. Some estimators are proposed. minimaxity estimator established. Improved improving upon derived. Finally, numerical study carried out in order compare proposed terms risk values.