Regression modelRegression / GLM

Bayesian Zero-Inflated Model

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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Sources

  1. Ghosh, 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: 10.1016/j.jspi.2004.10.008
  2. Lambert, D. (1992). Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics, 34(1), 1–14. DOI: 10.2307/1269547

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Referenced by

ScholarGateBayesian Zero-inflated model (Bayesian Zero-Inflated Count Model). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/bayesian-zero-inflated-model