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Robustne üldistatud lineaarne mudel×Robustne Poissoni regressioon×
ValdkondStatistikaStatistika
PerekondRegression modelRegression model
Tekkeaasta20012004
LoojaCantoni & RonchettiGuangyong Zou
TüüpRobust regression modelGLM with robust variance
AlgallikasHeritier, S., Cantoni, E., Copt, S., & Victoria-Feser, M.-P. (2009). Robust Methods in Biostatistics. Wiley. ISBN: 978-0470027264Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. DOI ↗
Rööpnimetusedrobust GLM, GLM with robust estimation, robust quasi-likelihood model, M-estimator GLMmodified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson
Seotud55
KokkuvõteA Robust Generalized Linear Model fits the standard GLM family — linear, logistic, Poisson, and others — using M-type estimating equations that down-weight outlying or influential observations. The result is coefficient estimates and standard errors that remain stable even when a minority of data points deviate sharply from the assumed distribution.Robust Poisson regression fits a Poisson log-linear model to a binary outcome but replaces the model-based variance with the empirical sandwich estimator. This yields valid standard errors and risk ratios even though Poisson variance assumptions are technically violated for binary data. The approach, popularized by Zou (2004), is widely used in epidemiology as a numerically stable alternative to log-binomial regression.
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ScholarGateVõrdle meetodeid: Robust Generalized linear model · Robust Poisson Regression. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare