方法对比

	贝叶斯广义线性模型	贝叶斯逻辑回归
领域	统计学	贝叶斯
方法族	Regression model	Bayesian methods
起源年份	1989 (GLM); 1995 (Bayesian BDA)	2008
提出者	McCullagh & Nelder (GLM framework); Bayesian treatment formalized by Gelman et al.	Gelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008)
类型	Bayesian regression model	Bayesian classification model
开创性文献	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	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.
别名	Bayesian GLM, Bayesian GLIM, Bayesian generalized linear regression, Bayes GLM	bayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon
相关	6	3
摘要	A Bayesian Generalized Linear Model (Bayesian GLM) extends the classical GLM framework by placing prior distributions on the regression coefficients and updating them with data via Bayes' theorem. This yields a full posterior distribution over parameters rather than single point estimates, enabling richer uncertainty quantification and principled incorporation of prior knowledge for any exponential-family outcome.	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.