A Note on Shrinkage Entropy Estimator for Mean of Exponential Distribution Considering Square Error Loss Function

The aim of the paper is to develop and investigate a new shrinkage estimator of the entropy function for mean of exponential distribution. A progressive type II censored sample and two shrinkage factors are considered to develop the shrinkage entropy estimator. Using squared error loss function (SELF), the risk and the relative risk functions are obtained for the proposed estimator. In terms of risk functions under SELF, the proposed entropy estimator is shown to be better than the existing entropy estimators for the distribution.