Estimation of Parameter in the Case of Zero-Failure Data

In this paper, for zero-failure data (ti, ni), at moment ti, if the prior distribution of the failure probability pi = P { T＜ti } is incomplete Fisher-Z distribution: Fisher-Z (0, λi; a, b), the author gives pihierarchical Biyesian estimation and the estimation of reliability under zero-failure data condition is obtained also. The author also gives a practical calculating example using the theory.