Title: Zero-Modified Poisson-Lindley distribution with applications in zero-inflated and zero-deflated count data,
Abstract: The main object of this article is to present an extension of the
zero-inflated Poisson-Lindley distribution, called of zero-modified
Poisson-Lindley. The additional parameter $\pi$ of the zero-modified
Poisson-Lindley has a natural interpretation in terms of either
zero-deflated/inflated proportion. Inference is dealt with by using the
likelihood approach. In particular the maximum likelihood estimators of the
distribution's parameter are compared in small and large samples. We also
consider an alternative bias-correction mechanism based on Efron's bootstrap
resampling. The model is applied to real data sets and found to perform better
than other competing models.