Generalized Z.T. Gao Method for Estimating Three Parameters of Weibull Distribution

Volume 8, Issue 2, April 2023     |     PP. 49-62      |     PDF (1333 K)    |     Pub. Date: April 5, 2023
DOI: 10.54647/computer520345    103 Downloads     160570 Views  

Author(s)

Jiajin Xu, L&Z international leasing Co. Ltd, Canton 510620, China

Abstract
In the process of fatigue research, it is found that most of the fatigue life data of structures conform to Weibull distribution rather than Gaussian distribution, and Weibull distribution is in a sense more general distribution than Gaussian distribution. But the biggest obstacle to the application of Weibull distribution is the complexity of Weibull distribution, especially the estimation of its three parameters is difficult. This is because the correlation coefficient estimation, MLE and other methods proposed by people have a common characteristic that the mathematical derivation is complicated and the calculation is complex. Based on the estimation of the correlation coefficients, author proposed Z.T. Gao method which can avoid these difficulties and can easily estimate the three parameters of Weibull distribution. Further study found that the idea of Z.T. Gao method can be used to avoid the difficulty of MLE, author call it generalized Z.T. Gao method can also conveniently get more ideal results.

Keywords
Three Parameter Weibull Distribution, Correlation Coefficient Estimation, Z.T. Gao (Gao Zhentong) Method, Maximum Likelihood Estimation(MLE), Generalized Z.T. Gao(G- Z.T. Gao) Method

Cite this paper
Jiajin Xu, Generalized Z.T. Gao Method for Estimating Three Parameters of Weibull Distribution , SCIREA Journal of Computer. Volume 8, Issue 2, April 2023 | PP. 49-62. 10.54647/computer520345

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