On Significance Testimator in Pareto Distribution Via Shrinkage Technique

Abstract

In this paper, preliminary test Shrinkage estimator have been considered for estimating the shape parameter  of pareto distribution when the scale parameter equal to the smallest loss and when a prior estimate 0 of  is available as initial value from the past experiences or from quaintance cases. The proposed estimator is shown to have a smaller mean squared error in a region around 0 when comparison with usual and existing estimators.