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Zero-Inflated Model×로버스트 포아송 회귀×
분야통계학통계학
계열Regression modelRegression model
기원 연도19922004
창시자Diane LambertGuangyong Zou
유형Count regression with excess zerosGLM with robust variance
원전Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI ↗Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. DOI ↗
별칭ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomialmodified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson
관련65
요약A zero-inflated model is a two-component mixture regression designed for count outcomes that contain more zero values than a standard Poisson or negative binomial distribution can accommodate. One component is a binary process that generates structural zeros; the other is a count process that generates both zeros and positive counts.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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