Сравнение методов

	Модель с избыточными нулями (Zero-Inflated Model)	Робастная пуассоновская регрессия
Область	Статистика	Статистика
Семейство	Regression model	Regression model
Год появления	1992	2004
Автор метода	Diane Lambert	Guangyong Zou
Тип	Count regression with excess zeros	GLM with robust variance
Основополагающий источник	Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14.	Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706.
Другие названия	ZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial	modified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson
Связанные	6	5
Сводка	A 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.