Porovnat metody

	Bayesovská logistická regrese	Bayesovská regrese	Logistická regrese
Obor	Bayesovská statistika	Bayesovská statistika	Statistika ve výzkumu
Rodina	Bayesian methods	Bayesian methods	Process / pipeline
Rok vzniku	2008	—	1958
Tvůrce	Gelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008)	—	David Roxbee Cox
Typ	Bayesian classification model	Bayesian linear model	Method
Původní zdroj	Gelman, A., Jakulin, A., Pittau, M. G. & Su, Y.-S. (2008). A Weakly Informative Default Prior Distribution for Logistic and Other Regression Models. Annals of Applied Statistics, 2(4), 1360–1383.	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	Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242.
Další názvy	bayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon	bayesian linear regression, probabilistic regression, bayesian regresyon	logit model, binomial logistic regression, LR
Příbuzné	3	2	3
Shrnutí	Bayesian logistic regression is a classification model that applies Bayesian inference to a logistic (sigmoid) likelihood for binary or multinomial outcomes. Developed within the weakly-informative prior framework formalised by Gelman, Jakulin, Pittau and Su (2008), it places a prior distribution over the coefficients and combines that prior with the data likelihood to yield a full posterior distribution for each parameter — delivering calibrated class probabilities and honest uncertainty even in small samples, rare-event settings, or cases of complete separation where frequentist maximum likelihood estimation collapses.	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.	Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.