An Efficient Shrinkage Estimator for the Parameters of Simple Linear Regression Model

This paper provided the preliminary test single stage shrinkage estimator for estimating the parameters of simple linear regression model, when a prior estimate of these parameters are available.This prior estimate has been referred in statistical literatures as guess point about the parameters.The expressions for Bias, Mean Squared Error (MSE) and Relative Efficiency of the proposed estimators are obtained.Numerical results are provided when the proposed estimators are estimators of level of significance .Comparisons with the usual estimator (O.L.S.) and existing estimators were made to show the usefulness of the proposed estimators in the sense of Relative Efficiency and Mean Squared Error.