|Title||Pseudo-Poisson Distributions with Concomitant Variables|
|Publication Type||Journal Article|
|Year of Publication||2023|
|Authors||Arnold, BC, Manjunath, BG|
|Journal||Mathematical and Computational Applications|
|Keywords||correlation; likelihood ratio test; maximum likelihood estimators; pseudo-Poisson; regression|
It has been argued in Arnold and Manjunath (2021) that the bivariate pseudo-Poisson distribution will be the model of choice for bivariate data with one equidispersed marginal and the other marginal over-dispersed. This is due to its simple structure, straightforward parameter estimation and fast computation. In the current note, we introduce the effects of concomitant variables on the bivariate pseudo-Poisson parameters and explore the distributional and inferential aspects of the augmented models. We also include a small simulation study and an example of application to real-life data.