﻿ 二参数威布尔分布最小二乘法估计的优化研究

# 二参数威布尔分布最小二乘法估计的优化研究A Refine Study on the Least-Squares Estimation for Two-Parameter Weibull Distribution

Abstract: Weibull distribution is one of the common random variable distributions in reliability science and engineering. Despite the fact that log-linearizing the nonlinear reliability function with Weibull distribution contributes to solving the Weibull parameters, the precision of parameter estimation is reduced. Thus, a method by combining Taylor series expansion and least square method is pro-posed to improve fitting precision of the Weibull distribution. Contrastive analyses on Taylor series expansion-least square method, common least square method and weighted least square method are conducted to access the fitting effects via numerical simulation and calculation. The results show that the proposed method can reduce the Weibull curve fitting error effectively and thus can be reference for reliability test.

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