Abstract: This paper generalizes WCF method to the cases of parameters' estimators
being not independent. Based on this result, the lower bound of confidences of the reliability is obtained for the components with weibull distributed life, and the systems involve this kind of components. Simulation studies show that the inference results given by WCF method are better than those provided by the asymptotic method.

Key words: Confidence lower Bound, WCF method, Weibull Distribution