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বেয়েশীয় উত্তরজীবী বিশ্লেষণ×বেয়েশীয় রিগ্রেশন×Kaplan-Meier Survival Estimator×Weibull Parametric Survival Regression×
ক্ষেত্রবেইসীয়বেইসীয়উত্তরজীবিতাউত্তরজীবিতা
পরিবারBayesian methodsBayesian methodsSurvival analysisSurvival analysis
উদ্ভবের বছর200119581951
প্রবর্তকIbrahim, Chen & SinhaKaplan, E. L. & Meier, P.Waloddi Weibull
ধরনBayesian time-to-event modelBayesian linear modelNon-parametric survival estimatorFully parametric survival regression model
মৌলিক উৎসIbrahim, J.G., Chen, M.-H. & Sinha, D. (2001). Bayesian Survival Analysis. Springer. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗Kalbfleisch, J. D. & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. DOI ↗
অপর নামbayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard modelbayesian linear regression, probabilistic regression, bayesian regresyonproduct-limit estimator, km curve, kaplan-meier sağkalım analiziweibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma
সম্পর্কিত4224
সারসংক্ষেপBayesian survival analysis applies Bayesian inference to time-to-event models — Cox proportional hazards, parametric (Weibull, exponential), and cure models. Formalised comprehensively by Ibrahim, Chen and Sinha (2001), the approach encodes prior knowledge about hazard rates and regression coefficients, then updates it with censored survival data to yield posterior hazard ratios and credible intervals rather than single point estimates.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.The Kaplan-Meier estimator, introduced by Kaplan and Meier in 1958, is a non-parametric method that estimates the survival curve — the probability of remaining event-free over time — from right-censored time-to-event data. The log-rank test is the companion procedure used to compare survival curves between groups.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: Bayesian Survival Analysis · Bayesian Regression · Kaplan-Meier · Weibull Regression. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare