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Stress-strength reliability estimation based on probability weighted moments in small sample scenario with three-parameter Weibull distribution

文献类型：期刊论文

作者Zou, Qingrong2; Wen JC(温济慈)1
刊名RELIABILITY ENGINEERING & SYSTEM SAFETY
出版日期2025-12-01
卷号264页码:12
关键词Stress-strength parameter Three-parameter Weibull distribution Probability weighted moments Small sample Reliability
ISSN号0951-8320
DOI10.1016/j.ress.2025.111340
通讯作者Wen, Jici(wenjici@lnm.imech.ac.cn)
英文摘要Stress-strength reliability is a fundamental concept in engineering and reliability analysis, crucial for assessing whether a system or component will perform adequately under given stress and strength conditions. The threeparameter Weibull distribution, a mainstay in reliability engineering and life testing, is renowned for its effectiveness in modeling failure data across a spectrum of engineering and scientific disciplines. Despite its utility, traditional parameter estimation methods, such as maximum likelihood estimation (MLE), are constrained by the absence of estimators for shape parameters below one and by inefficiency for those between one and two. Additionally, these methods often necessitate extensive sample sizes for achieving reliable outcomes. Bridging this gap, we introduce a reliability analysis framework anchored in the probability weighted moments (PWM) method, which are efficient in handling heavy-tailed or skewed distributions, ensuring the existence of estimators for arbitrary parameter scenarios. Our comprehensive evaluation using diverse datasets, including Monte Carlo simulations and real-world experimental data, demonstrates that the PWM method excels in robust parameter estimation, performs exceptionally well with small and moderate sample sizes. These advantages make the proposed analysis framework particularly effective for evaluating the stress-strength reliability of engineering structures under the three-parameter Weibull distribution.
分类号一类
WOS关键词PARTICLE SWARM OPTIMIZATION ; LESS-THAN X) ; PARAMETERS ; INFERENCE
资助项目R & D Program of Beijing Municipal Education Commission[KM202311232008] ; Young Elite Scientists Sponsorship Program by the Chinese Society of Theoretical and Applied Mechanics[CSTAM2022-XSC-QN4] ; Young Backbone Teacher Support Plan of Beijing Information Sci-ence & Technology University[YBT 202446]
WOS研究方向Engineering ; Operations Research & Management Science
语种英语
WOS记录号WOS:001511825000006
资助机构R & D Program of Beijing Municipal Education Commission ; Young Elite Scientists Sponsorship Program by the Chinese Society of Theoretical and Applied Mechanics ; Young Backbone Teacher Support Plan of Beijing Information Sci-ence & Technology University
其他责任者温济慈
源URL[http://dspace.imech.ac.cn/handle/311007/101868]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
2.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 102206, Peoples R China;
推荐引用方式
GB/T 7714		 Zou, Qingrong,Wen JC. Stress-strength reliability estimation based on probability weighted moments in small sample scenario with three-parameter Weibull distribution[J]. RELIABILITY ENGINEERING & SYSTEM SAFETY,2025,264:12.
APA Zou, Qingrong,&温济慈.(2025).Stress-strength reliability estimation based on probability weighted moments in small sample scenario with three-parameter Weibull distribution.RELIABILITY ENGINEERING & SYSTEM SAFETY,264,12.
MLA Zou, Qingrong,et al."Stress-strength reliability estimation based on probability weighted moments in small sample scenario with three-parameter Weibull distribution".RELIABILITY ENGINEERING & SYSTEM SAFETY 264(2025):12.

入库方式： OAI收割

来源：力学研究所

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