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| Регресия на преживяемостта× | Оценител на преживяемостта на Каплан-Майер× | Регресия на Вайбул за оцеляване (Weibull Parametric Survival Regression)× | |
|---|---|---|---|
| Област≠ | Статистика | Анализ на преживяемостта | Анализ на преживяемостта |
| Семейство≠ | Regression model | Survival analysis | Survival analysis |
| Година на възникване≠ | 1980s | 1958 | 1951 |
| Създател≠ | Kalbfleisch & Prentice; Cox & Oakes | Kaplan, E. L. & Meier, P. | Waloddi Weibull |
| Тип≠ | Parametric survival model | Non-parametric survival estimator | Fully parametric survival regression model |
| Основополагащ източник≠ | Kalbfleisch, J. D., & Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data (2nd ed.). Wiley. ISBN: 978-0471363576 | Kaplan, 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 ↗ |
| Други названия≠ | accelerated failure time model, AFT model, parametric survival model, time-to-event regression | product-limit estimator, km curve, kaplan-meier sağkalım analizi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| Свързани≠ | 3 | 2 | 4 |
| Резюме≠ | Survival regression models the time until an event occurs — such as death, failure, or relapse — as a function of covariates. Unlike ordinary regression, it properly accounts for censored observations (cases where the event had not yet occurred at the end of follow-up) by specifying a parametric distribution for the survival time and estimating covariate effects via maximum likelihood. | 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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