Bayesian Methods In The Number Of Issues

In this paper, we use Bayesian and empirical Bayesian approach for studying the parameter of Pascal distribution, the parameter-functions of one-side truncation distribution family, and the parameter of normal distribution family.Firstly, the Bayesian and multiple Bayesian estimation of Pascal distribution parameter are studied. And also the Bayes lowers confidence limit is proposed.Secondly, in case of NA samples, using density function kernel estimation approach, the asymptotic optimal empirical Bayesian estimator for one-side truncation parameter-functions is put forward. Under some certain conditions, the convergencerates q =λα(δ-2)/δ(2α+4) is obtained, where 0< λ <2 , α>0 and δ > 2 .Lastly, in case of NA samples, we present an asymptotic optimal empirical Bayesian estimator for the parameter of normal distribution. And the convergence rate is also covered.