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베이지안 음이항 회귀×Zero-Inflated Model×
분야통계학통계학
계열Regression modelRegression model
기원 연도1990s–2000s1992
창시자Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & TrivediDiane Lambert
유형Bayesian GLM for overdispersed countsCount 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 NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 modelZIP model, ZINB model, zero-inflated Poisson, zero-inflated negative binomial
관련66
요약Bayesian Negative Binomial Regression models non-negative integer count outcomes that exhibit overdispersion — where the variance exceeds the mean — by placing a negative binomial likelihood on the data and specifying prior distributions over the regression coefficients and the dispersion parameter. Posterior inference is typically performed via Markov chain Monte Carlo (MCMC) or variational methods, yielding full posterior distributions rather than point estimates.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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