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| 贝叶斯逻辑回归× | 逻辑回归× | |
|---|---|---|
| 领域≠ | 贝叶斯 | 研究统计学 |
| 方法族≠ | Bayesian methods | Process / pipeline |
| 起源年份≠ | 2008 | 1958 |
| 提出者≠ | Gelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008) | David Roxbee Cox |
| 类型≠ | Bayesian classification model | Method |
| 开创性文献≠ | 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. DOI ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ |
| 别名 | bayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon | logit model, binomial logistic regression, LR |
| 相关 | 3 | 3 |
| 摘要≠ | 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. | 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. |
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