The Bayesian Analysis for Negative Binomial Distribution under a New Loss Function

The Bayesian and hierarchical Bayesian estimators of reliability of negative binomial distribution are obtained,and the E Bayesian estimator is also discussed by E Bayesian approach.Finally,a numberical example is given to compare the former three estmators,and the conlusion shows that the E Bayesian estimator is better than the hierarchical Bayesian estimator.