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Title: A desirable aspect in the variance premium in a collective risk model
Other Titles: Un aspecto deseable de la prima varianza en el modelo colectivo de riesgo
Authors: Hernández Bastida, Agustín
Fernández Sánchez, María del Pilar
Gómez Déniz, Emilio 
UNESCO Clasification: 530202 Modelos econométricos
Keywords: Riesgo
Modelos económetricos
Modelo colectivo de riesgo, et al
Issue Date: 2011
Journal: Estudios de Economía Aplicada 
Abstract: En este trabajo se estudia un modelo colectivo de riesgo con distribución primaria una distribución de Poisson y distribución secundaria una distribución Exponencial con perfiles de riesgo (los parámetros de las anteriores distribuciones) independientes. Se calculan la Prima Colectiva y la Prima Bayes y se analiza el rango de variación de las Primas indicadas frente a contaminaciones en las funciones estructura (distribuciones a priori). Los resultados aquí obtenidos extienden los de Gómez-Déniz et al (2000), donde se consideraba un modelo solo para la variable número de reclamaciones.
This paper focuses on the study of the Collective and Bayes Premiums, under the Variance Premium Principle, in the classic Collective Risk Poisson-Exponential Model. A bivariate prior distribution is considered for both the parameter of the distribution of the number of claims and that of the distribution of the claim amount, assuming independence between these parameters. Furthermore, we analyze the consequences on these premiums of small levels of contamination in the structure functions, and find that the premiums are not sensitive to small levels of uncertainty. These results extend the conclusions obtained in Gómez-Déniz et al. (2000), where only variations in the parameter for the number of claims and its effects on premiums were studied.
ISSN: 1133-3197
DOI: 10.25115/EEA.V29I1.3948
Source: Estudios de Economia Aplicada [ISSN 1133-3197], v. 29 (1), p. 1-18
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