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| Байесов модел на Поасоново разпределение× | Негативно-биномна регресия× | |
|---|---|---|
| Област≠ | Статистика | Иконометрия |
| Семейство | Regression model | Regression model |
| Година на възникване≠ | 1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s | 2011 |
| Създател≠ | Gelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989) | Hilbe (textbook treatment); generalized linear model framework |
| Тип≠ | Bayesian generalized linear model for count data | Generalized linear model for count data |
| Основополагащ източник≠ | 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. DOI ↗ |
| Други названия≠ | Bayesian log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regression | NB regression, NB2 regression, negatif binom regresyonu |
| Свързани≠ | 6 | 4 |
| Резюме≠ | 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. | 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. |
| ScholarGateНабор от данни ↗ |
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