Сравнение на методи

	Байесова мултиномна логистична регресия	Байесов порядъчен логистичен регресионен модел
Област	Статистика	Статистика
Семейство	Regression model	Regression model
Година на възникване	1966 (classical); Bayesian extensions established by 1990s	1999
Създател	Gelman et al. (Bayesian treatment); classical multinomial logit by Cox (1966)	Johnson & Albert (1999); Bayesian proportional odds framework
Тип	Bayesian classification model	Bayesian generalized linear model
Основополагащ източник	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	Johnson, V. E., & Albert, J. H. (1999). Ordinal Data Modeling. Springer. ISBN: 978-0387987484
Други названия	Bayesian polytomous logistic regression, Bayesian multinomial logit, Bayesian softmax regression, Bayesian nominal logistic regression	Bayesian proportional odds model, Bayesian cumulative logit model, Bayesian ordered logit, Bayesian cumulative link model
Свързани	5	6
Резюме	Bayesian 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 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.