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The Full tails gamma distribution applied to model extreme values

Recurso electrónico / Electronic resource
MARC record
Tag12Value
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001  MAP20170030539
003  MAP
005  20170921170048.0
008  170920e20170619bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20170011989‎$a‎Del Castillo, Joan
24514‎$a‎The Full tails gamma distribution applied to model extreme values‎$c‎Joan del Castillo, Jalila Daoudi, Isabel Serra
300  ‎$a‎23 p.
520  ‎$a‎In 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.
650 4‎$0‎MAPA20080555740‎$a‎Parámetros
650 4‎$0‎MAPA20080589004‎$a‎Análisis matemático
650 4‎$0‎MAPA20080551254‎$a‎Huracanes
650 4‎$0‎MAPA20080612429‎$a‎Riesgos extraordinarios
650 4‎$0‎MAPA20080608392‎$a‎Riesgos meteorológicos
650 4‎$0‎MAPA20080597733‎$a‎Modelos estadísticos
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/09/2017 Volumen 47 Número 3 - septiembre 2017 , p. 895-917