Bivariate distributions with conditionals satisfying the proportional generalized odds rate model

Abstract

New bivariate models are obtained with conditional distributions (in two different senses) satisfying the proportional generalized odds rate (PGOR) model. The PGORsemi-parametric model includes as particular cases theCox proportional hazard rate (PHR) model and the proportional odds rate (POR) model. Thus the new bivariate models are very flexible and include, as particular cases, the bivariate extensions of PHR and POR models. Moreover, some well known parametric bivariate models are also included in these general models. The basic theoretical properties of the new models are obtained. An application to fit a real data set is also provided. © Springer-Verlag Berlin Heidelberg 2015.