Bayesian Inferences in Generalized Exponential Distribution


Department of Statistics, University of Tehran, Tehran, Iran


In this paper, we discuss minimaxity of Generalized Bayes estimator of the shape parameter of Generalized Exponential (GE) distribution under Weighted Square Error Loss (WSEL) function. A common approach to the prior uncertainty in Bayesian analysis is to choose a class of prior distributions and look for an optimal decision within this class. This is known as robust Bayesian methodology. We obtain Posterior Regret Gamma Minimax estimator of the shape parameter of GE distribution under WSEL function.


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