Bayesian Analysis Of Pascal Distribution Reliability Under Asymmetrical Loss Function

In this paper, when there has few samples or data only one failure, we discuss the estimation of Pascal distribution unit reliability in multi-sources of prior information with Bayesian, Hierarchical Bayesian And E Bayesian theories.The main research content is as follows:Firstly, this article uses one kind of new prior distribution, namely the mix conjugate prior distribution. And confirm inheritance factor with Kullback information method.Secondly, this article introduced a kind of asymmetrical loss function, namely entropy loss function and LINEX loss function. We discuss the Bayesian estimation of Pascal distribution reliability under the entropy loss function and the LINEX loss function.Thirdly, this article has considered Hierarchical Bayesian estimation and the E Bayesian estimation of Pascal distribution reliability under data only one failure.