Author:
Fallah Afshin,Khoshtarkib Hamid
Abstract
<p>In this paper, we consider the problem of improving the efficiency of alinear combination of two estimators, when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of interested parameter. We show that two estimators obtained from improved linear combination of two estimators and linear combination of two improved estimators are equivalent, in terms of efficiency. We also show that, how one can construct an doubly-improved linear combination of two estimators, when the population coefficient of variation is known.</p>
Publisher
Universidad Nacional de Colombia
Subject
Statistics and Probability
Reference16 articles.
1. Estimating the Mean with Known Coefficient of Variation
2. Minimum means square error estimation, ridge regression and some unanswered questions;Bibby;Progress in Statistics,1972
3. 4. Bibby, J. & Toutenburg, H. (1977), Prediction and Improved Estimation in Linear Models, 1 edn, Wiley, New York.
4. Improved Estimation and Prediction
5. Estimating the Mean of a Normal Distribution with Known Coefficient of Variation