The EB Estimation of Scale-parameter for Twoparameter Exponential Distribution Under the Type-I Censoring Life Test

Abstract

This paper is devoted to the estimation of scale-parameter for two-parameter exponential distribution using empirical Bayes procedure. Under the type-I censoring life test, we first choose the prior distribution of the scale-parameter and find its Bayes estimation, and then we use maximum likelihood method to obtain the estimation of the super-parameter which is included in the prior distribution. finally, the empirical estimation of Scale-parameter is derived from current samples. Moreover, an illustrative example is examined numerically by means of the Monte- Carlo simulation, and this shows that such EB estimation is simple and efficient