เปรียบเทียบวิธี

	การถดถอยทวินามเชิงลบแบบเบย์	การถดถอยพัวซงและทวินามเชิงลบ
สาขาวิชา	สถิติศาสตร์	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	1990s–2000s	1998
ผู้ริเริ่ม	Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi	Cameron & Trivedi (textbook treatment); Hilbe (negative binomial)
ประเภท	Bayesian GLM for overdispersed counts	Generalized linear model for count data
แหล่งต้นตำรับ	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.
ชื่อเรียกอื่น	Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model	count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon
ที่เกี่ยวข้อง	6	4
สรุป	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.	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.