Robust bayesian estimators for binomial distribution under prior data conflict

Abstract

In this paper, the regular Bayes method and robust Bayes method were used to estimate the parameter (p) and the survival function of the Binomial distribution in the case of prior data conflict for two simulation experiments. The first experiment was in the case of unconflicted prior data. The simulation results of the first experiment showed that the robust Bayes method is best by using the comparative criterion (IMSE). The second experiment was in case of prior data conflict. The simulation results showed that the robust Bayes method is best by using the comparative criterion (IMSE). Thus, the robust Bayes method is best in both cases to estimate the parameter (p) and the survival function of the Binomial distribution.