REGRESSION IN THE BIVARIATE POISSON DISTRIBUTION
Subrahmaniam Kocherlakota, Kathleen Kocherlakota · Communication in Statistics- Theory and Methods · 2001
In this paper we study some problems associated with count data from a bivariate Poisson distribution, in which the marginal means are functions of explanatory variables. The estimates of these regression coefficients are developed under a variety of conditions: unrestricted linear model; parallelism of the regression planes; the coincidence of the regression planes. Tests are also developed for the validity of hypotheses involved in these models. The techniques are illustrated using simulated data.