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ベイズ順序ロジスティック回帰×ベイズロジスティック回帰×
分野統計学ベイズ
系統Regression modelBayesian methods
提唱年19992008
提唱者Johnson & Albert (1999); Bayesian proportional odds frameworkGelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008)
種類Bayesian generalized linear modelBayesian classification model
原典Johnson, V. E., & Albert, J. H. (1999). Ordinal Data Modeling. Springer. ISBN: 978-0387987484Gelman, 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 ↗
別名Bayesian proportional odds model, Bayesian cumulative logit model, Bayesian ordered logit, Bayesian cumulative link modelbayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon
関連63
概要Bayesian ordinal logistic regression extends the classical proportional odds model by placing prior distributions on the regression coefficients and threshold parameters and updating them with observed data via Bayes' theorem. The result is a full posterior distribution over all parameters, enabling uncertainty quantification without relying on large-sample approximations.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.
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ScholarGate手法を比較: Bayesian Ordinal Logistic Regression · Bayesian Logistic Regression. 2026-06-17に以下より取得 https://scholargate.app/ja/compare