手法を比較

	ベイズポアソン回帰	ポアソン回帰と負の二項回帰
分野	統計学	計量経済学
系統	Regression model	Regression model
提唱年	1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s	1998
提唱者	Gelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989)	Cameron & Trivedi (textbook treatment); Hilbe (negative binomial)
種類	Bayesian generalized linear model for count data	Generalized linear model for count data
原典	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955	Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press.
別名	Bayesian log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regression	count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
関連	6	4
概要	Bayesian 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.	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.