Some Remarks on the Estimation of Mean in the Normal Population

This paper generalizes the estimator proposed by Searles (1964) and further studied by SRIVASTAVA (1980) and gives some expressions for the first two moments and an integral representation for the α^th raw moment. The latter is found suitable for computational purposes. Some points in SRIVASTAVA'S (1980) paper are also clarified. Efficiencies of 3 estimators belonging to this class are analyzed with respect to the usual sample mean.