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베이지안 포아송 회귀×Zero-Inflated Model×
분야통계학통계학
계열Regression modelRegression model
기원 연도1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s1992
창시자Gelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989)Diane Lambert
유형Bayesian generalized linear model for count dataCount regression with excess zeros
원전Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI ↗
별칭Bayesian log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regressionZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial
관련66
요약Bayesian Poisson regression models non-negative integer count outcomes using a Poisson likelihood with a log link, placing prior distributions on the regression coefficients. Posterior inference — combining prior beliefs with the data likelihood — produces full probability distributions over the coefficients rather than single-point estimates, enabling coherent uncertainty quantification and incorporation of domain knowledge.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.
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