Abstract: Aiming at the problem of estimating the failure parameters of the Poisson censored δ-shock model, under the principle of minimum mean square error and different priori assumptions, the Bayesian estimations of the failure parameters δ of the Possion censored δ-shock model were given  based on the  two kinds of sample data of  total number of shocks in the end of life and the  arrival time of shock by using the Bayesian estimation method.

Key words: censored δ-shock model, Poisson process, Bayesian estimation, parameter estimation