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| Bejzijanska regresija negativnog binomnog rasporeda× | Bejzijanska Poasonova regresija× | |
|---|---|---|
| Oblast | Statistika | Statistika |
| Porodica | Regression model | Regression model |
| Godina nastanka≠ | 1990s–2000s | 1989 (GLM foundation); Bayesian treatment formalized in 1990s–2000s |
| Tvorac≠ | Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi | Gelman et al. (BDA); classical Poisson GLM from McCullagh & Nelder (1989) |
| Tip≠ | Bayesian GLM for overdispersed counts | Bayesian generalized linear model for count data |
| Temeljni izvor | 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 | 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 |
| Drugi nazivi | Bayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model | Bayesian log-linear count model, Bayesian GLM Poisson, Poisson regression with priors, Bayesian count regression |
| Srodne | 6 | 6 |
| Sažetak≠ | 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. | 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. |
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