Abstract
In recent years, an important part of Enrique Castilloś research work has been focused on statistical applications of models with conditional specification. The present paper introduces some new developments and applications of these kinds of models to be studied in the near future. Firstly, some new and some old bivariate discrete distributions specified by conditionals are presented. Models of bivariate distributions where one of the conditional distributions is discrete and the other one is continuous have important applications in risk theory and actuarial statistics. In this sense, some of these mixture models are proposed. Distributions for modelling bivariate income distributions are reviewed. Certain conditionally specified densities are also shown to provide convenient flexible conjugate prior families in certain multiparameter Bayesian settings. We propose prior distributions for inference with incomplete count data and in certain hurdle models. Finally, we describe the construction of flexible bivariate continuous distributions based on specification of some prescribed conditional hazard functions.
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Sarabia, J.M., Sarabia, M., Pascual, M. (2008). Conditionally Specified Models: New Developments and Applications. In: Advances in Mathematical and Statistical Modeling. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4626-4_3
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DOI: https://doi.org/10.1007/978-0-8176-4626-4_3
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