Modified thompson-type testimators for the parameters of simple linear regression model

Abstract EN

This paper is concerned with Thompson-Type estimators, which is known as preliminary test shrinkage estimator with some modification on its form via shrinkage weight factor Ψ (.).

This type of estimators have been considered for estimating the parameters θ of simple linear regression model, when a prior estimate of the parameter value (θ) is available, say θ0.

This θ0 has been referred in statistical literatures as guess p oint about the parameter θ.

The expressions for Bias, Mean Squared Error (M SE) and Relative Efficiency of the proposed estimators are obtained.

Numerical results are provided when the proposed estimators are testimators of level of significance θ.

Comparisons with the usual (L.

S.

M) and existing estimators were made to show the usefulness of the proposed estimators in the sense of Relative Efficiency and Mean Squared Error.