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It is not our intention to comprehensively review analytic methodologies for zero-inflated data.
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For zero-inflated and over dispersed data a frequent modeling choice is the Zero-Inflated Negative Binomial (ZINB) model.
The methodology employed in our investigation (Wood [2006]) offers similar technical possibilities for the Poisson and negative binomial distributions and, in combination with Rigby and Stasinopoulos's ([2005]) methods, for the zero-inflated Poisson distribution.
Fahrmeir and Echavarrı ([2006]) introduce an extensive methodology using structured additive regression models STAR for overdispersed and zero-inflated count data.
Adjusting for covariates using zero-inflated multivariate regression models gave similar results.
For that data, a zero-inflated Poisson (ZIP) model was found to be suitable.
Mixture models are employed for regression analysis of zero-inflated data.
This paper describes a multivariate zero-inflated Poisson (MZIP) regression model as an alternative methodology for modeling multivariate crash count data by severity.
Two popular models that account for data with excess zeros are the zero-inflated Poisson (ZIP) and the zero-inflated negative binomial (ZINB).
Zero-inflated models allow distinct regressors for each component model.
Lambert [ 18] proposed the zero-inflated Poisson (ZIP) regression model for independent count data.
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