手法を比較

	ベイズ負の二項回帰	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	1990s–2000s	2011
提唱者	Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi	Hilbe (textbook treatment); generalized linear model framework
種類	Bayesian GLM for overdispersed counts	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	Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press.
別名	Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model	NB regression, NB2 regression, negatif binom regresyonu
関連	6	4
概要	Bayesian 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.	Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data.