Estimation of parameter with known coefficient of variation

Improved estimation is an interesting and also important concept in statistical inference. This concept is defined by explaining all the factors that have an effect on the improvement to be gained in this thesis. With the help of former studies such as Searls (1964), Bibby and Toutenburg (1972), Thompson (1968) and Hirano (1973), improved estimation techniques were clarified.In this study, using coefficient of variation as prior information improved estimators for mean, variance and ratio parameters are obtained. These biased estimators were proposed as alternatives to the usual unbiased estimators. In order to make the comparisons between usual unbiased estimators and improved estimators mean square error (MSE) is used as the criterion function. Relative efficiency values are presented in tables to prove that the suggested improved estimators are more efficient than the unbiased estimators.