小样本威布尔分布参数估计的比较研究——应用于弹簧疲劳失效数据

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-21 DOI:10.1080/08982112.2022.2158745

Xiaoyu Yang, Liyang Xie, Yifeng Yang, Bingfeng Zhao, Yuan Li

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引用次数: 1

摘要

摘要威布尔分布是可靠性分析中应用最广泛的模型。本文的主要目的是提出一种称为最小差异法的简单方法，该方法适用于威布尔分布参数估计的完整数据和截尾数据，并通过模拟研究在13种方法的小样本量中根据几个标准进行详细比较。此外，将参数估计方法应用于弹簧疲劳失效数据。通过大量的仿真和比较，推荐了广义最小二乘法、加权最小二乘法、最大似然估计法和最小方差法用于小样本参数估计。

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A comparative study for parameter estimation of the Weibull distribution in a small sample size: An application to spring fatigue failure data

Abstract The Weibull distribution is the most widely applied model in reliability analysis. The main objective of this paper is to present a simple method called the minimum discrepancy method that is applicable to both complete and censored data for the parameter estimation of the Weibull distribution and a detailed comparison in a small sample size of thirteen methods in terms of several criteria by a simulation study. Additionally, parameter estimation methods are applied to the spring fatigue failure data. By extensive simulations and comparisons, the generalized least square 1, the weighted least square 1, the weighted Maximum likelihood estimation and the minimum discrepancy method are recommended for parameter estimation with small samples.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.