Estimation of reliability based on zero-failure date

This paper uses the hierarchical Bayes way to estimate the product reliability when prior density function of R is in form of pi(R/alpha) square R^alpha and 0 < alpha < k. Under the condition of the binomial distribution with zero-failure data, the value of the product reliability is estimated. The conclusion generalizes the relevant conclusion of papers[6][8][9][10][12]. The conclusion has certain value in theory and application.