A class of bivariate regression models for discrete and/or continuous responses. Issue 8 (14th September 2019)

• Record Type: Journal Article
• Authors: de Oliveira, Willian Luís; Diniz, Carlos Alberto Ribeiro; Durbán, Maria
• Is Part Of: Communications in statistics. Volume 48:Issue 8(2019)
• Page Start: 2359
• Page End: 2383
• Publication Date: 2019-09-14
• Subjects: Bivariate regression models -- Conditional approach -- Dependency between the responses -- Discrete and/or continuous responses; 62J02 -- 62J12 -- 62F10; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2018.1457689
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: A 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.