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Робусна мултиномијална логистичка регресија×Multinomial Logistic Regression×
OblastStatistikaStatistika
PorodicaRegression modelRegression model
Godina nastanka2001 (robust GLM); 1970s–1980s (multinomial logistic regression)1966–1974
TvoracCantoni & Ronchetti (robust GLM framework); Agresti (multinomial logistic regression)Cox (1966); Theil (1969); formalized by McFadden (1974)
TipRobust classification modelGeneralized linear model
Temeljni izvorCantoni, E., & Ronchetti, E. (2001). Robust inference for generalized linear models. Journal of the American Statistical Association, 96(455), 1022–1030. DOI ↗Agresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933
Drugi nazivirobust polychotomous logistic regression, outlier-resistant multinomial regression, robust nominal logistic regression, M-estimation multinomial logistic regressionpolytomous logistic regression, softmax regression, multinomial logit, nominal logistic regression
Srodne54
SažetakRobust multinomial logistic regression extends the standard multinomial logit model to handle outliers, influential observations, and mild misspecification of the response distribution. It replaces the conventional maximum likelihood score equations with bounded influence functions (M-estimation) or pairs maximum likelihood with sandwich variance estimators, so that a small fraction of anomalous cases cannot distort the estimated log-odds ratios across outcome categories.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.
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ScholarGateUporedite metode: Robust Multinomial Logistic Regression · Multinomial Logistic Regression. Preuzeto 2026-06-15 sa https://scholargate.app/sr/compare