Methoden vergleichen

	Robuste multinominale logistische Regression	Generalisiertes Lineares Modell (GLM)
Fachgebiet	Statistik	Statistik
Familie	Regression model	Regression model
Entstehungsjahr	2001 (robust GLM); 1970s–1980s (multinomial logistic regression)	1972
Urheber	Cantoni & Ronchetti (robust GLM framework); Agresti (multinomial logistic regression)	John A. Nelder & Robert W. M. Wedderburn
Typ	Robust classification model	Regression framework
Wegweisende Quelle	Cantoni, E., & Ronchetti, E. (2001). Robust inference for generalized linear models. Journal of the American Statistical Association, 96(455), 1022–1030.	Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384.
Aliasnamen	robust polychotomous logistic regression, outlier-resistant multinomial regression, robust nominal logistic regression, M-estimation multinomial logistic regression	GLM, generalized regression, exponential family regression, link-function model
Verwandt	5	6
Zusammenfassung	Robust 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.	The Generalized Linear Model is a unified regression framework that extends ordinary linear regression to outcomes from the exponential family — including binary, count, proportion, and continuous positive outcomes. A link function connects the linear predictor to the mean of the response, enabling principled modelling beyond the Gaussian case.