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Title: Modeling the conditional dependence between discrete and continuous random variables with applications in insurance
Authors: Gómez Déniz, Emilio 
Calderín Ojeda,Enrique 
UNESCO Clasification: 530202 Modelos econométricos
Keywords: Bivariate Distributions
Conditional Distributions
Issue Date: 2021
Project: Aportaciones A la Toma de Decisiones Bayesianas Óptimas: Aplicaciones Al Coste-Efectividad Con Datos Clínicos y Al Análisis de Riestos Con Datos Acturiales. 
Journal: Mathematics 
Abstract: We jointly model amount of expenditure for outpatient visits and number of outpatient visits by considering both dependence and simultaneity by proposing a bivariate structural model that describes both variables, specified in terms of their conditional distributions. For that reason, we assume that the conditional expectation of expenditure for outpatient visits with respect to the number of outpatient visits and also, the number of outpatient visits expectation with respect to the expenditure for outpatient visits is related by taking a linear relationship for these conditional expectations. Furthermore, one of the conditional distributions obtained in our study is used to derive Bayesian premiums which take into account both the number of claims and the size of the correspondent claims. Our proposal is illustrated with a numerical example based on data of health care use taken from Medical Expenditure Panel Survey (MEPS), conducted by the U.S. Agency of Health Research and Quality.
ISSN: 2227-7390
DOI: 10.3390/math9010045
Source: Mathematics [EISSN 2227-7390], v. 9 (1), 45, (Enero 2021)
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