On modeling count data: a comparison of some well-known discrete distributions

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Two‐part regression models for longitudinal zero‐inflated count data (2010, background): “The problem of zero inflation in count data has a long history in the statistical literature (see, e.g., Dietz & Böhning, 2000 and references therein) and several competing models have been proposed (see, e.g., Nikoloupoulos & Karlis, 2008; Greene, 2009).”