Robust Bayes Estimation

Abstract

This article deals with robust Bayes estimation, namely Stable action, Conditional Gamma-Minimax action and Posterior Regret Gamma-Minimax action. We extend the results of Meczarski (1993) and obtain the exact actions in each case. The results are applied for a family of one-parameter exponential families introduced by Morris (1983) as an extension of the results of Boratynska (1997).