Some improved estimation for common variance of two populations

Abstract

Improved estimators for common variance of two populations 2have been set up by considering that (i) s and s are the usual2estimators for estimating α and α2 respectively and (ii) the other type of estimators, are available. Comparisons in terms of mean squared error (MSE) have been made. It is shown that the proposed estimators have either smaller MSE than the usual estimators or have equivalent MSE to the minimum mean squared error (MMSE) estimator in the proposed class. © 1994, Taylor & Francis Group, LLC. All rights reserved.