Single Stage Shrinkage Estimator for the Shape Parameter of the Pareto Distribution

Abstract

In this paper, we employee single stage shrinkage estimator for estimate the shape parameter of the Pareto distribution when the scale parameter is known. The proposed estimator is shown to have a smaller mean squared error in a region around when comparison with the usual and existing estimators.

Improved estimators for the rate parameter of gamma model using asymptotic properties

“…There have been fewer studies on proposing new estimators for the parameters of the gamma distribution in recent times. Salman et al. (2014) , in their paper, proposed a preliminary test single stage shrinkage estimator for the scale parameter of the gamma distribution when the prior information about the scale parameter is available.…”

“…There have been fewer studies on proposing new estimators for the parameters of the gamma distribution in recent times. Salman et al (2014), in their paper, proposed a preliminary test single stage shrinkage estimator for the scale parameter of the gamma distribution when the prior information about the scale parameter is available. From their numerical analysis, they showed that the suggested estimator is more efficient than the classical estimators when the prior information is close to the neighbourhood of the scale parameter.…”