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On the moments of the time to ruin in dependent Sparre Andersen models with emphasis on Coxian interclaim times

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1001 ‎$0‎MAPA20150002693‎$a‎Yan Lee, Wing
24510‎$a‎On the moments of the time to ruin in dependent Sparre Andersen models with emphasis on Coxian interclaim times‎$c‎Wing Yan Lee, Gordon E. Willmot
520  ‎$a‎The structural properties of the moments of the time to ruin are studied in dependent Sparre Andersen models. The moments of the time to ruin may be viewed as generalized versions of the GerberShiu function. It is shown that structural properties of the GerberShiu function hold also for the moments of the time to ruin. In particular, the moments continue to satisfy defective renewal equations. These properties are discussed in detail in the model of Willmot and Woo (2012), which has Coxian interclaim times and arbitrary time-dependent claim sizes. Structural quantities needed to determine the moments of the time to ruin are specified under this model. Numerical examples illustrating the methodology are presented.
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080592042‎$a‎Modelos matemáticos
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080588281‎$a‎Teoría de la ruina
650 4‎$0‎MAPA20080603069‎$a‎Probabilidad de ruina
7001 ‎$0‎MAPA20080235727‎$a‎Willmot, Gordon E.
7730 ‎$w‎MAP20077100574‎$t‎Insurance : mathematics and economics‎$d‎Oxford : Elsevier, 1990-‎$x‎0167-6687‎$g‎03/11/2014 Volumen 59 Número 1 - noviembre 2014 , p. 1-10