Bivariate Zero-Inflated Power Series Distribution

Patil Maruti Krishna, Shirke Digambar Tukaram

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DOI: 10.4236/am.2011.27110                

Abstract

Many researchers have discussed zero-inflated univariate distributions. These univariate models are not suitable, for modeling events that involve different types of counts or defects. To model several types of defects, multivariate Poisson model is one of the appropriate model. This can further be modified to incorporate inflation at zero and we can have multivariate zero-inflated Poisson distribution. In the present article, we introduce a new Bivariate Zero Inflated Power Series Distribution and discuss inference related to the parameters involved in the model. We also discuss the inference related to Bivariate Zero Inflated Poisson Distribution. The model has been applied to a real life data. Extension to k-variate zero inflated power series distribution is also discussed.

Keywords

Bivariate Zero-Inflated Power Series Distribution, Bivariate Zero-Inflated Poisson Distribution, K-Variate Zero-Inflated Power Series Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

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