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当前位置：工程学研究 > 2025年 4卷 (1)期

Open Access Article

Journal of Engineering Research. 2025; 4: (1) ; 18-24 ; DOI: 10.12208/j.jer.20250003.

Estimation of three-parameters of Weibull distribution and Zhentong Gao method
Weibull分布的三参数的估计和高镇同法

作者： 徐家进 *

力中国际融资租赁有限公司广东广州

*通讯作者：徐家进,单位：力中国际融资租赁有限公司广东广州；

发布时间: 2025-01-20 总浏览量: 64

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摘要

三参数Weibull分布在结构疲劳、可靠性等领域起了越来越大的作用，人们根据有关数据来从不同的角度提出估计Weibull分布的三个参数提出了许多方法。这些方法各有所长，但似乎都存在这样或那样的问题：1. 估计参数的数学推导比较繁琐，得到的结果也不容易解出；2. 为简化估计的困难程度，往往假定位置参数为零或将数据取对数；3，得到的估计参数结果有时会违反Weibull分布参数的物理意义。作者最近几年提出的高镇同法以及推广了的高镇同法，在一定程度上克服了上述问题，且同时能给出估计参数的置信区间，得到了比较令人满意的结果。

关键词： 三参数的Weibull分布；Weibull分布的3个参数的估计；高镇同法；广义高镇同法；升级的高镇同法

Abstract

The three-parameters Weibull distribution has played an increasingly important role in fields such as structural fatigue and reliability. Many methods have been proposed to estimate the three parameters of the Weibull distribution from different perspectives based on relevant data. These methods each have their own strengths, but it seems that they all have some problems: 1. The mathematical derivation of estimating parameters is quite cumbersome, and the results obtained are not easy to solve; 2. To simplify the difficulty of estimation, it is often assumed that the position parameter is zero or the data is logarithmically represented; 3. The estimated parameter results obtained sometimes violate the physical meaning of Weibull distribution parameters. In recent years, the author has proposed and promoted the Zhentong Gao method, which to some extent overcomes the above problems and can also provide confidence intervals for estimating parameters, achieving satisfactory results.

Key words： Three-parameters Weibull distribution, Estimation of three-parameters of Weibull distribution, Zhentong Gao Method; Generalized Zhentong Gao Method; Upgrade Zhentong Gao Method

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引用本文

徐家进, Weibull分布的三参数的估计和高镇同法[J]. 工程学研究, 2025; 4: (1) : 18-24.

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