Bayesian point estimation and predictive density estimation for the binomial distribution with a restricted probability parameter

In this paper, we consider Bayesian point estimation and predictive density in the binomial case. After presenting preliminary results on these problems, compare risk functions of Bayes estimators based truncated untruncated beta priors obtain dominance conditions when probability parameter is less than or equal to a known constant. The case where there are both lower bound restriction an upper also treated. Then our problems shown be related similar Poisson Finally, numerical studies presented.