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강건 영과대 모형×로버스트 포아송 회귀×
분야통계학통계학
계열Regression modelRegression model
기원 연도1990s–2000s2004
창시자Extension of Lambert (1992) ZIP model combined with robust M-estimation and sandwich standard errorsGuangyong Zou
유형Robust count regression with excess zerosGLM with robust variance
원전Zeileis, A., Kleiber, C., & Jackman, S. (2008). Regression models for count data in R. Journal of Statistical Software, 27(8), 1–25. DOI ↗Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. DOI ↗
별칭robust ZIP, robust ZINB, outlier-resistant zero-inflated regression, robust zero-inflated Poissonmodified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson
관련55
요약The 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 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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