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Regresia Binomială Negativă Bayesiană×Modelul bayesian cu inflație de zerouri×
DomeniuStatisticăStatistică
FamilieRegression modelRegression model
Anul apariției1990s–2000s1992–2006
Autorul originalGelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & TrivediLambert (1992) for ZIP; Bayesian extension by Ghosh, Mukhopadhyay & Lu (2006)
TipBayesian GLM for overdispersed countsBayesian count regression
Sursa seminalăGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Ghosh, S. K., Mukhopadhyay, P., & Lu, J.-C. (2006). Bayesian analysis of zero-inflated regression models. Journal of Statistical Planning and Inference, 136(4), 1360–1375. DOI ↗
Denumiri alternativeBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 modelBayesian ZIP, Bayesian ZINB, Bayesian zero-inflated Poisson, Bayesian zero-inflated negative binomial
Înrudite65
RezumatBayesian 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.The Bayesian zero-inflated model handles count data with excess zeros by combining a binary component — identifying structural zeros — with a count component (Poisson or negative binomial) for the remaining counts. Bayesian inference via MCMC provides full posterior distributions for all parameters, enabling principled uncertainty quantification and regularisation through priors.
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ScholarGateCompară metode: Bayesian Negative Binomial Regression · Bayesian Zero-inflated model. Preluat la 2026-06-15 de pe https://scholargate.app/ro/compare