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Робастная мультиномиальная логистическая регрессия×Обобщенная линейная модель (GLM)×
ОбластьСтатистикаСтатистика
СемействоRegression modelRegression model
Год появления2001 (robust GLM); 1970s–1980s (multinomial logistic regression)1972
Автор методаCantoni & Ronchetti (robust GLM framework); Agresti (multinomial logistic regression)John A. Nelder & Robert W. M. Wedderburn
ТипRobust classification modelRegression framework
Основополагающий источникCantoni, E., & Ronchetti, E. (2001). Robust inference for generalized linear models. Journal of the American Statistical Association, 96(455), 1022–1030. DOI ↗Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384. DOI ↗
Другие названияrobust polychotomous logistic regression, outlier-resistant multinomial regression, robust nominal logistic regression, M-estimation multinomial logistic regressionGLM, generalized regression, exponential family regression, link-function model
Связанные56
СводкаRobust 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.
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  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Robust Multinomial Logistic Regression · Generalized Linear Model. Получено 2026-06-15 из https://scholargate.app/ru/compare