Then , with the concept of accumulated failure probability , the proposed approach combines the least ? quares method with bayes " theorem , takes advantage of the parameter estimation for single weibull distribution to each derived subgroup data set , and estimates the parameters of each subpopulation . the estimates given by this paper also satisfy the maximum likelihood equation . the mean time to failure and the reliability estimation of the mixed population are given 然后通過利用累積失效概率等概念,對每個導出的子組數據集聯合運用最小二乘法、貝葉斯定理和對單一威布爾分布的參數估計法,從而得到每個子總體的滿足極大似然原理的參數估計,給出了該混合總體平均壽命和可靠度的估計。