Vertaile menetelmiä
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| Bayesilainen eloonjäämisanalyysi× | Bayesilainen regressio× | Kaplan-Meierin selviytymisestimaattori× | Weibull Parametrinen Selviytymisregressio× | |
|---|---|---|---|---|
| Tieteenala≠ | Bayesilainen tilastotiede | Bayesilainen tilastotiede | Elinaika-analyysi | Elinaika-analyysi |
| Menetelmäperhe≠ | Bayesian methods | Bayesian methods | Survival analysis | Survival analysis |
| Syntyvuosi≠ | 2001 | — | 1958 | 1951 |
| Kehittäjä≠ | Ibrahim, Chen & Sinha | — | Kaplan, E. L. & Meier, P. | Waloddi Weibull |
| Tyyppi≠ | Bayesian time-to-event model | Bayesian linear model | Non-parametric survival estimator | Fully parametric survival regression model |
| Alkuperäislähde≠ | Ibrahim, 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: 978-1439840955 | 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 ↗ |
| Rinnakkaisnimet≠ | bayesian sağkalım analizi, bayesian time-to-event analysis, bayesian hazard model | bayesian linear regression, probabilistic regression, bayesian regresyon | product-limit estimator, km curve, kaplan-meier sağkalım analizi | weibull aft model, weibull survival model, parametric survival regression, Weibull Regresyonu — Parametrik Hayatta Kalma |
| Liittyvät≠ | 4 | 2 | 2 | 4 |
| Tiivistelmä≠ | Bayesian 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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