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베이지안 음이항 회귀×포아송 및 음이항 회귀분석×
분야통계학계량경제학
계열Regression modelRegression model
기원 연도1990s–2000s1998
창시자Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & TrivediCameron & Trivedi (textbook treatment); Hilbe (negative binomial)
유형Bayesian GLM for overdispersed countsGeneralized linear model for count data
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: 978-1439840955Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗
별칭Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 modelcount regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
관련64
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.Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred.
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