Zero-inflated model

Binomial regression

Linguistics

Demography

Negative binomial distribution

Philosophy

Statistics

Overdispersion

Count data

Zero (linguistics)

Applied mathematics

Poisson distribution

Quasi-likelihood

Regression analysis

Mathematics

Econometrics

Generalized linear model

Population

Sociology

Poisson regression

Journal of Data Science

The generalized Poisson regression model has been used to model dispersed count data. It is a good competitor to the negative binomial regression model when the count data is over-dispersed. Zero-inflated Poisson and zero-inflated negative binomial regression models have been proposed for the situations where the data generating process results into too many zeros. In this paper, we propose a zero-inflated generalized Poisson (ZIGP) regression model to model domestic violence data with too many zeros. Estimation of the model parameters using the method of maximum likelihood is provided. A score test is presented to test whether the number of zeros is too large for the generalized Poisson model to adequately fit the domestic violence data

Zero-Inflated Generalized Poisson Regression Model with an Application to Domestic Violence Data