Improved estimation in Rayleigh type-II censored data under a bounded loss utilizing a point guess value

ýThe problem of shrinkage testimation (test-estimation) for the Rayleigh scaleý ýparameter θ based on censored samples under the reflectedý ýgamma loss function is consideredý. We obtain the minimum riský ýestimator among a subclass and compute its riský. ýA shrinkageý ýtestimator based on acceptance or rejection of a null hypothesisý H0 : θ = θ0 is constructedý, ýwhere θ0 is a pointý ýguess value of θý. ýThe risk of the proposed shrinkageý ýtestimator is computed numerically and compared with the minimumý ýrisk estimatorý. ýA data set is analyzed for illustrativeý ýpurposesý. ý