قارن الطرق

	الانحدار اللوجستي متعدد الحدود البايزي	الانحدار اللوجستي متعدد الحدود
المجال	الإحصاء	الإحصاء
العائلة	Regression model	Regression model
سنة النشأة	1966 (classical); Bayesian extensions established by 1990s	1966–1974
صاحب الطريقة	Gelman et al. (Bayesian treatment); classical multinomial logit by Cox (1966)	Cox (1966); Theil (1969); formalized by McFadden (1974)
النوع	Bayesian classification model	Generalized linear model
المصدر التأسيسي	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	Agresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933
الأسماء البديلة	Bayesian polytomous logistic regression, Bayesian multinomial logit, Bayesian softmax regression, Bayesian nominal logistic regression	polytomous logistic regression, softmax regression, multinomial logit, nominal logistic regression
ذات صلة	5	4
الملخص	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.	Multinomial logistic regression extends binary logistic regression to outcomes with three or more unordered categories. It models the log-odds of each category relative to a chosen reference category as a linear function of the predictors, and estimates all parameters simultaneously via maximum likelihood. It is the standard choice when the dependent variable is nominal with multiple levels.