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Bayesian Estimation for Deformed Modified Power Series Distribution
Authors:Małgorzata Murat
Institution:1. Department of Mathematics , Lublin University of Technology , Lublin , Poland m.murat@pollub.pl
Abstract:In this article, posterior distribution, posterior moments, and predictive distribution for the modified power series distributions deformed at any of a support point under linex and generalized entropy loss function are derived. It is assumed that the prior information can be summarized by a uniform, Beta, two-sided power, Gamma, or generalized Pareto distributions. The obtained results are demonstrated on the generalized Poisson and the generalized negative binomial distribution deformed at a given point.
Keywords:Bayesian estimator  Deformed distribution  Generalized entropy loss function  Linex loss function  Power series distribution  Posterior distribution  Posterior moments  Predictive distribution
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