Bayesian Analysis of Zero-Inflated Distributions

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A Bayesian model for repeated measures zero-inflated count data with application to outpatient psychiatric service use (2010, methodology): “Rodrigues (2003) and Ghosh et al. (2006) developed Bayesian ZIP models for cross-sectional data, using Markov chain Monte Carlo (MCMC) with data augmentation to obtain posterior samples.”
Zero-inflated and overdispersed: what's one to do? (2013, methodology): “The zero-inflated model developed by Lambert [23] accounts for excess zeros and is a mixture of two distributions: a distribution degenerate at zero mixed with a standard probability model such as the Poisson or NB distribution [24].”
Modelling count data with overdispersion and spatial effects (2008, methodology): “Lambert (1992) introduced the zero inflated Poisson regression model, a Bayesian analysis of the zero inflated Poisson model is given in Rodrigues (2003).”