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المجالالإحصاءالإحصاء
العائلةRegression modelRegression model
سنة النشأة1992–20061990s–2000s
صاحب الطريقةLambert (1992) for ZIP; Bayesian extension by Ghosh, Mukhopadhyay & Lu (2006)Gelman, Carlin, Stern, Dunson, Vehtari & Rubin; Cameron & Trivedi
النوعBayesian count regressionBayesian GLM for overdispersed counts
المصدر التأسيسيGhosh, 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
الأسماء البديلةBayesian 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
ذات صلة56
الملخصThe 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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ScholarGateقارن الطرق: Bayesian Zero-inflated model · Bayesian Negative Binomial Regression. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare