In this note we furnish a set-up under which the Stein-rule estimator turns out to be a feasible version of the minimum risk estimator.

This paper considers the estimation of population mean under a super population model and presents a class of improved estimators. Dominance of this class over the conventional unbiased estimator with respect to predictive mean squared error is studied and a simple condition is deduced. Unbiased...

A synthetic estimator is one of the simplest estimators for a small area, and it has several variants. In this paper, a ratio-synthetic estimator is proposed and compared with the existing synthetic estimator (Ghangurde & Singh, 1977) and it is observed that the gain due to stratification in the...

For estimating the coefficients in a linear regression model, the Stein-rule estimators are considered and their performance is studied according to the criterion of Pitman closeness. For this purpose, an asymptotic approximation for the criterion is derived and analyzed.