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The Full tails gamma distribution applied to model extreme values
Recurso electrónico / Electronic resource
MAP20170030539
Del Castillo, Joan ‌
The Full tails gamma distribution applied to model extreme values / Joan del Castillo, Jalila Daoudi, Isabel Serra
23 p.
Sumario: In this paper, we introduce the simplest exponential dispersion model containing the Pareto and exponential distributions. In this way, we obtain distributions with support (0,¿) that in a long interval are equivalent to the Pareto distribution; however, for very high values, decrease like the exponential. This model is useful for solving relevant problems that arise in the practical use of extreme value theory. The results are applied to two real examples, the first of these on the analysis of aggregate loss distributions associated to the quantitative modelling of operational risk. The second example shows that the new model improves adjustments to the destructive power of hurricanes, which are among the major causes of insurance losses worldwide
En: Astin bulletin. - Belgium : ASTIN and AFIR Sections of the International Actuarial Association = ISSN 0515-0361. - 01/09/2017 Volumen 47 Número 3 - septiembre 2017 , p. 895-917
1. Parámetros ‌. 2. Análisis matemático ‌. 3. Huracanes ‌. 4. Riesgos extraordinarios ‌. 5. Riesgos meteorológicos ‌. 6. Modelos estadísticos ‌. I. Title.