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| 統計的信頼性解析× | フォールトツリー解析 (FTA)× | ワイブル生存回帰 (Weibull Parametric Survival Regression)× | |
|---|---|---|---|
| 分野≠ | 信頼性 | 信頼性 | 生存時間解析 |
| 系統≠ | Regression model | Process / pipeline | Survival analysis |
| 提唱年≠ | 1998 | 1981 | 1951 |
| 提唱者≠ | William Meeker & Luis Escobar | Vesely et al. (US NRC Fault Tree Handbook) | Waloddi Weibull |
| 種類≠ | Parametric lifetime modeling | Deductive top-down failure analysis | Fully parametric survival regression model |
| 原典≠ | Meeker, W. Q., & Escobar, L. A. (1998). Statistical Methods for Reliability Data. Wiley. ISBN: 978-0-471-14328-4 | 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 ↗ |
| 別名 | Life Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik Analizi | FTA, Fault Tree Method, Top-Down Reliability Analysis, Hata Ağacı Analizi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| 関連≠ | 3 | 3 | 4 |
| 概要≠ | 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. | 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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