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Model zerowany z nadmierną liczbą zer (Robust Zero-Inflated Model)×Regresja odporna×
DziedzinaStatystykaStatystyka
RodzinaRegression modelRegression model
Rok powstania1990s–2000s1964
TwórcaExtension of Lambert (1992) ZIP model combined with robust M-estimation and sandwich standard errorsPeter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974)
TypRobust count regression with excess zerosRegression with outlier resistance
Źródło pierwotneZeileis, A., Kleiber, C., & Jackman, S. (2008). Regression models for count data in R. Journal of Statistical Software, 27(8), 1–25. DOI ↗Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗
Inne nazwyrobust ZIP, robust ZINB, outlier-resistant zero-inflated regression, robust zero-inflated PoissonM-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation
Pokrewne56
PodsumowanieThe robust zero-inflated model extends standard zero-inflated count regression — which handles excess zeros via a mixture of a point mass at zero and a count distribution — by replacing or supplementing classical maximum likelihood with robust estimation techniques (M-estimators, sandwich standard errors) that protect against the distorting influence of outlying observations.Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed.
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  3. PUBLISHED

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ScholarGatePorównaj metody: Robust Zero-Inflated Model · Robust Regression. Pobrano 2026-06-15 z https://scholargate.app/pl/compare