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| Hồi quy Poisson Bayes× | Hồi quy Poisson và Âm nhị thức× | |
|---|---|---|
| Lĩnh vực≠ | Thống kê | Kinh tế lượng |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s | 1998 |
| Người khởi xướng≠ | Gelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989) | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) |
| Loại≠ | Bayesian generalized linear model for count data | Generalized linear model for count data |
| Công trình gốc≠ | 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. DOI ↗ |
| Tên gọi khác | 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 |
| Liên quan≠ | 6 | 4 |
| Tóm tắt≠ | 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. |
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