<正> The life distribution of some type of engines is Weibull distribution (or normal distribution). We have done life tests censored at fixed times τ1…τ2 , totally 51 times. The result is all zero-failure! What we will do is to estimate the reliability R(τ) = P(T > τ) , here T is the life of this type of engines.This paper tries to seek the estimate failure probability pi = P(T ≤τ) by the hierarchical Bayesian analysis and reliability R(τ) by the least square method in two situations. The result shows, estimation of R(τ) is robust.