A class of bivariate regression models for discrete and/or continuous responses |
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Authors: | Willian Luís de Oliveira Carlos Alberto Ribeiro Diniz Maria Durbán |
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Institution: | 1. Departamento de Estatística, Universidade Estadual de Maringá - Maringá / PR, Brasilwillian26oliveira@gmail.com https://orcid.org/0000-0002-2941-9804;3. Departamento de Estatística, Universidade Federal de S?o Carlos - S?o Carlos / SP, Brasil;4. Departamento de Estadística, Universidad Carlos III de Madrid - Leganés / Madrid, Espa?a |
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Abstract: | ABSTRACTA general class of models for discrete and/or continuous responses is proposed in which joint distributions are constructed via the conditional approach. It is assumed that the distributions of one response and of the other response given the first one belong to exponential family of distributions. Furthermore, the marginal means are related to the covariates by link functions and a dependency structure between the responses is inserted into the model. Estimation methods, diagnostic analysis and a simulation study considering a Bernoulli-exponential model, a particular case of the class, are presented. Finally, this model is used in a real data set. |
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Keywords: | Bivariate regression models Conditional approach Dependency between the responses Discrete and/or continuous responses |
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