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

He problem of shrinkage testimation (test-estimation) for the rayleigh scale parameter θ based on censored samples under the reflected gamma loss function is considered. we obtain a minimum risk estimator in a subclass and compute its risk. a shrinkage testimator based on the acceptance or rejection of the null hypothesis h0: θ = θ0 is constructed,where θ0 is a point guess value of θ. the risk of the proposed shrinkage testimator is computed numerically and compared with the minimum risk estimator. a data set is analyzed for illustrative purposes.