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বেয়েশীয় বহুপদী লজিস্টিক রিগ্রেশন×বেইসিয়ান লজিস্টিক রিগ্রেশন×
ক্ষেত্রপরিসংখ্যানবেইসীয়
পরিবারRegression modelBayesian methods
উদ্ভবের বছর1966 (classical); Bayesian extensions established by 1990s2008
প্রবর্তকGelman et al. (Bayesian treatment); classical multinomial logit by Cox (1966)Gelman, Jakulin, Pittau & Su (weakly-informative prior framework, 2008)
ধরনBayesian classification modelBayesian classification model
মৌলিক উৎসGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Gelman, 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 ↗
অপর নামBayesian polytomous logistic regression, Bayesian multinomial logit, Bayesian softmax regression, Bayesian nominal logistic regressionbayesian binary logistic regression, bayesian classification model, Bayesian Lojistik Regresyon
সম্পর্কিত53
সারসংক্ষেপBayesian Multinomial Logistic Regression models a nominal outcome with three or more unordered categories by placing prior distributions over the regression coefficients and updating them with data via Bayes' theorem. The result is a full posterior distribution over category probabilities for each observation, enabling principled uncertainty quantification and regularization through the prior.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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ScholarGateপদ্ধতির তুলনা করুন: Bayesian Multinomial Logistic Regression · Bayesian Logistic Regression. 2026-06-15 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare