摘要
针对三重以上的两参数混合威布尔分布卷入参数过多导致求解困难的问题,使用模糊C均值聚类算法与最小二乘线性回归法相结合的方法,求出形状参数与尺度参数的初值,通过KS检验(Kolmogorov-Smirnov test)证明该方法得出的初值具有良好的精度。根据得出的初值制定合理的参数待估范围,以最小化标准均方根误差为优化目标,使用遗传算法求解不同重数混合威布尔分布的参数值。实例分析证明该方法有效解决了传统方法初值依赖性较强的问题,增加重数可以有效改善拟合效果,求出的概率密度函数能够准确反映数据的实际分布规律。
To address the problem that the two-parameter mixed Weibull distribution with more than three-time folds is difficult to be solved due to the reason that too many parameters are involved,this paper employs the fuzzy C-mean clustering algorithm combined with the least squares linear regression method to find out the initial values of the shape parameters and the scale parameters,which are proved to have good accuracy by using the KS test(Kolmogorov-Smirnov test).Based on the initial values obtained,the parameters to be estimated are specified with reasonable ranges respectively,and the parameter values of different reweighted mixed Weibull distributions are solved by using genetic algorithm,with its optimization objective being set as minimizing the standard root mean square error.Example analysis proves that the proposed method is effective in solving the problem of those traditional methods for their strong dependency on the initial values.By increasing the number of the weights,the fitting effect can be effectively improved.The probability density function can accurately reflect the actual distribution law of the data.
作者
陈文鹏
吕阳
屠建飞
王钢明
CHEN Wenpeng;LÜYang;TU Jianfei;WANG Gangming(Advanced Energy Storage Technology and Equipment Research Institute,Ningbo University,Ningbo 315211,China;Ningbo CRRC Times Transducer Technology Co.,Ltd.,Ningbo 315021,China)
出处
《宁波大学学报(理工版)》
2025年第5期105-112,共8页
Journal of Ningbo University(Natural Science and Engineering Edition)
基金
国家自然科学基金(22078164)
宁波市重点研发计划(2023Z153,2023Z061)。
关键词
模糊C均值聚类
可靠性建模
遗传算法
威布尔分布
fuzzy C-means clustering
reliability modeling
genetic algorithm
Weibull distribution
作者简介
第一作者:陈文鹏,硕士研究生,主要研究方向为可靠性建模。E-mail:c15298@foxmail.com;通信作者:王钢明,高级实验师,主要研究方向为数字化制造。E-mail:wanggangming@nbu.edu.cn。
