Abstract
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. Key words: Improved estimation, mean square error, pivotal quantity; shrinkage technique, location parameter.
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