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统计可靠性分析×退化模型×故障树分析 (FTA)×威布尔参数生存回归×
领域可靠性可靠性可靠性生存分析
方法族Regression modelRegression modelProcess / pipelineSurvival analysis
起源年份1998199819811951
提出者William Meeker & Luis EscobarMeeker, Escobar & LuVesely et al. (US NRC Fault Tree Handbook)Waloddi Weibull
类型Parametric lifetime modelingStochastic degradation path modelDeductive top-down failure analysisFully parametric survival regression model
开创性文献Meeker, W. Q., & Escobar, L. A. (1998). Statistical Methods for Reliability Data. Wiley. ISBN: 978-0-471-14328-4Meeker, W. Q., Escobar, L. A., & Lu, C. J. (1998). Accelerated degradation tests: modeling and analysis. Technometrics, 40(2), 89–99. DOI ↗Vesely, W. E., Goldberg, F. F., Roberts, N. H., & Haasl, D. F. (1981). Fault Tree Handbook (NUREG-0492). U.S. Nuclear Regulatory Commission. link ↗Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗
别名Life Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik AnaliziAccelerated Degradation Testing, Degradation Path Models, Performance Degradation Analysis, Bozunma ModelleriFTA, Fault Tree Method, Top-Down Reliability Analysis, Hata Ağacı Analiziweibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
相关3334
摘要Statistical reliability analysis models the time-to-failure of components, systems, or products using parametric lifetime distributions fitted to observed or censored failure data. Formalized comprehensively by William Q. Meeker and Luis A. Escobar in their 1998 Wiley monograph, the framework integrates maximum likelihood estimation, censoring mechanisms, and distributional diagnostics to produce probability-of-failure curves, hazard rates, and quantile estimates that support design, warranty, and maintenance decisions.Degradation models estimate product lifetime by tracking measurable performance characteristics—such as crack length, light output, or insulation resistance—over time rather than waiting for outright failure. Introduced in rigorous form by Meeker, Escobar, and Lu (1998), these models fit a stochastic degradation path to repeated measurements and define failure as the first time the characteristic crosses a predetermined threshold, enabling reliable lifetime inference from accelerated test data with very few or no observed failures.Fault Tree Analysis (FTA) is a top-down, deductive reliability method that begins with an undesired top-level failure event and systematically traces backward through chains of contributing causes using Boolean logic gates (AND, OR). First formalized by Watson at Bell Telephone Laboratories in 1961 and later standardized by Vesely, Goldberg, Roberts, and Haasl in the landmark 1981 NRC Fault Tree Handbook, FTA has become a cornerstone of quantitative risk assessment in nuclear, aerospace, and industrial safety engineering.Weibull regression is a fully parametric survival model, formalised by Kalbfleisch and Prentice, that assumes survival times follow a Weibull distribution. A shape parameter controls whether the hazard increases, decreases, or remains constant over time, while covariates shift the scale of the distribution to express how predictors affect survival.
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ScholarGate方法对比: Reliability Analysis · Degradation Models · Fault Tree Analysis · Weibull Regression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare