中文摘要：

介绍了完全样本下极大似然估计法、矩估计法、相关系数优化法、概率权重矩法、灰色模型法、双线性回归法等常用的3参数威布尔分布的参数估计方法，提出了极大似然估计的一种新解法，从相关系数、Theil不等系数、对数似然函数值3个方面比较了各种方法的差异．不同容量的样本实例计算表明，小样本情况下各估计法的差别较大，而大样本时差别较小，灰色模型法在各种样本下均具有较高的估计精度．

英文摘要：

Six kinds of commonly used parameter estimation methods （ maximum likelihood estimation method, moment method estimates, correlation coefficient optimization method, probability-weighted moment method, gray model method, and bilinear regression method） were introduced based on complete sample. A new algorithm method was proposed for the maxmum likelihood estimation. The differences between various methods were compared in three aspects： correlation eoefficrent. Their unequal coeffieieut and log-likehood function value. Example calculations show that the smaller the sample size is the greater the difference in estimation methods. The gray model method in a variety of samples has a higher estimation accuracy.