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পরিসংখ্যানভিত্তিক নির্ভরযোগ্যতা বিশ্লেষণ×অবক্ষয় মডেল (Degradation Models)×Weibull Parametric Survival Regression×
ক্ষেত্রনির্ভরযোগ্যতানির্ভরযোগ্যতাউত্তরজীবিতা
পরিবারRegression modelRegression modelSurvival analysis
উদ্ভবের বছর199819981951
প্রবর্তকWilliam Meeker & Luis EscobarMeeker, Escobar & LuWaloddi Weibull
ধরনParametric lifetime modelingStochastic degradation path modelFully parametric survival regression model
মৌলিক উৎসMeeker, 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 ↗Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗
অপর নামLife Data Analysis, Survival Analysis (Engineering), Time-to-Failure Analysis, Güvenilirlik AnaliziAccelerated Degradation Testing, Degradation Path Models, Performance Degradation Analysis, Bozunma Modelleriweibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
সম্পর্কিত334
সারসংক্ষেপStatistical 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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ScholarGateপদ্ধতির তুলনা করুন: Reliability Analysis · Degradation Models · Weibull Regression. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare