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Bayesiaans nul-geïnflateerd model×Bayesiaanse Negatief-Binomiale Regressie×
VakgebiedStatistiekStatistiek
FamilieRegression modelRegression model
Jaar van ontstaan1992–20061990s–2000s
GrondleggerLambert (1992) for ZIP; Bayesian extension by Ghosh, Mukhopadhyay & Lu (2006)Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
TypeBayesian count regressionBayesian GLM for overdispersed counts
Oorspronkelijke bronGhosh, 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 ↗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
AliassenBayesian ZIP, Bayesian ZINB, Bayesian zero-inflated Poisson, Bayesian zero-inflated negative binomialBayesian NB regression, Bayesian negbin model, Bayesian overdispersed count regression, Bayesian NB-2 model
Verwant56
SamenvattingThe 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.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.
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ScholarGateMethoden vergelijken: Bayesian Zero-inflated model · Bayesian Negative Binomial Regression. Geraadpleegd op 2026-06-15 via https://scholargate.app/nl/compare