Abstract
Recently, Marshall and Olkin (Biometrika 84(3):641–652 1997) introduced a family of distributions by adding a new parameter to a survival function. In this paper, we give physical interpretation of the family using odds function. It is shown that the family of distributions satisfies the property of proportional odds function. We, then, develop a generalized family and study its properties. Further, we give various definitions of proportional odds model in the bivariate set up. Based on these, we introduce new families of bivariate distributions and study their properties.
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Sankaran, P.G., Jayakumar, K. On proportional odds models. Stat Papers 49, 779–789 (2008). https://doi.org/10.1007/s00362-006-0042-3
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DOI: https://doi.org/10.1007/s00362-006-0042-3