Bayesian Estimation in Some Power Series Distributions

Abstract

In this paper, we study the Bayesian estimation of functions of parameters of some power series distributions. These estimators are better than the classical minimum variance unbiased estimators (MVUE) as given by Patil and Joshi (1970), in the sense that these increase the range of the estimation and also have simpler forms.

Keywords

• Generalized power series distribution
• squared error loss function
• weighted squared error loss function
• likelihood function
• minimum variance unbiased estimation
• Bayesian estimation