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eISSN: 2581-9615 || CODEN: WJARAI || Impact Factor 8.2 ||  CrossRef DOI

Research and review articles are invited for publication in March 2026 (Volume 29, Issue 3) Submit manuscript

Using Monte Carlo method to Upgrade Zhentong Gao method

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  • Using Monte Carlo method to Upgrade Zhentong Gao method

Jiajin Xu *

L and Z International Leasing Co. Ltd., Guangzhou, China.
 
Review Article
World Journal of Advanced Research and Reviews, 2024, 22(02), 633-640
Article DOI: 10.30574/wjarr.2024.22.2.1391
DOI url: https://doi.org/10.30574/wjarr.2024.22.2.1391
 
Received on 31 March 2024; revised on 06 May 2024; accepted on 08 May 2024
 
In recent decades, it has been found that the three-parament Weibull distribution plays an increasingly important role in the fields such as structural fatigue and reliability. However, the complexity of estimating these three parameters greatly affects the application of the Weibull distribution. In the past three years, the author has successively proposed the Zhentong Gao Method and the Generalized Zhentong Gao Method, which have effectively solved this problem. However, it has also been found that there is room for improvement in these two methods. That's what this paper is about, how to use the characteristics of the Monte Carlo and Metropolis-Hastings methods to upgrade the Zhentong Gao method and the Generalized Zhentong Gao method, so that these two upgraded methods can not only efficiently estimate the three parameters of the Weibull distribution, but also provide their confidence intervals, and can be used in more fields.
 
Three-Parameter Weibull Distribution; MC Method; MH method; Zhentong Gao Method; Generalized Zhentong Gao Method
 
https://wjarr.com/sites/default/files/fulltext_pdf/WJARR-2024-1391.pdf

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Jiajin Xu. Using Monte Carlo method to Upgrade Zhentong Gao method. World Journal of Advanced Research and Reviews, 2024, 22(2), 633-640. Article DOI: https://doi.org/10.30574/wjarr.2024.22.2.1391

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