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Large-loss behavior of conditional mean risk sharing

Recurso electrónico / Electronic resource
MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20200029830
003  MAP
005  20200924173953.0
008  200924e20200901bel|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
1001 ‎$0‎MAPA20080096434‎$a‎Denuit, Michel
24510‎$a‎Large-loss behavior of conditional mean risk sharing‎$c‎Michel Denuit, Christian Y. Robert
520  ‎$a‎We consider the conditional mean risk allocation for an insurance pool, as defined by Denuit and Dhaene (2012). Precisely, we study the asymptotic behavior of the respective relative contributions of the participants as the total loss of the pool tends to infinity. The numerical illustration in Denuit (2019) suggests that the application of the conditional mean risk sharing rule may produce a linear sharing in the tail of the total loss distribution. This paper studies the validity of this empirical finding in the class of compound PanjerKatz sums consisting of compound Binomial, compound Poisson, and compound Negative Binomial sums with either Gamma or Pareto severities. It is demonstrated that such a behavior does not hold in general since one term may dominate the other ones conditional of large total loss.
650 4‎$0‎MAPA20080548575‎$a‎Pérdidas
650 4‎$0‎MAPA20080591182‎$a‎Gerencia de riesgos
650 4‎$0‎MAPA20080610319‎$a‎Distribución de riesgos
650 4‎$0‎MAPA20080576738‎$a‎Método de Panjer
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20090041721‎$a‎Distribución Poisson-Beta
700  ‎$0‎MAPA20080650308‎$a‎Robert, Christian Y.
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/09/2020 Volumen 50 Número 3 - septiembre 2020 , p. 1093-1122