On Shrunken Estimation of Generalized Exponential Distribution

Abstract

This paper deal with the estimation of the shape parameter () of Generalized Exponential (GE) distribution when the scale parameter () is known via preliminary test single stage shrinkage estimator (SSSE) when a prior knowledge (0) a vailable about the shape parameter as initial value due past experiences as well as suitable region (R) for testing this prior knowledge.The Expression for the Bias, Mean squared error [MSE] and Relative Efficiency [R.Eff()] for the proposed estimator are derived. Numerical results about behavior of considered estimator are discussed via study the mentioned expressions. These numerical results displayed in annexed tables. Comparisons between the proposed estimator and the classical estimator as well as with some earlier studies were made to shown the effect and usefulness of the considered estimator.