Pseudo-Poisson Distributions with Concomitant Variables

It has been argued in Arnold and Manjunath (2021) that the bivariate pseudo-Poisson distribution will be model of choice for data with one equidispersed marginal other over-dispersed. This is due to its simple structure, straightforward parameter estimation fast computation. In current note, we introduce effects concomitant variables on parameters explore distributional inferential aspects augmented models. We also include a small simulation study an example application real-life data.