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| 統計的信頼性解析× | 劣化モデル× | 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 | Regression model | Survival analysis |
| 提唱年≠ | 1998 | 1998 | 1951 |
| 提唱者≠ | William Meeker & Luis Escobar | Meeker, Escobar & Lu | Waloddi Weibull |
| 種類≠ | Parametric lifetime modeling | Stochastic degradation path model | 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 | Meeker, W. Q., Escobar, L. A., & Lu, C. J. (1998). Accelerated degradation tests: modeling and analysis. Technometrics, 40(2), 89–99. DOI ↗ | 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 | Accelerated Degradation Testing, Degradation Path Models, Performance Degradation Analysis, Bozunma Modelleri | 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. | 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. | 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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