Scientific Research and Essays, cilt.6, sa.12, ss.2501-2503, 2011 (SCI-Expanded)
Searls (1964) proposed an improved estimator for the mean when the coefficient of variation is known. Thompson (1968) considered a method to reduce the mean square error (MSE) of the minimum variance unbiased linear estimator of the mean. The latter work obtained a new improved estimator for the mean. The purpose of the present note is to find a relationship between Searls and Thompson's estimators using a pivotal quantity for location parameter. © 2011 Academic Journals.