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Some remarks on delayed renewal risk models

Recurso electrónico / electronic resource
Registro MARC
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1001 ‎$0‎MAPA20130010298‎$a‎Woo, Jae-Kyung
24510‎$a‎Some remarks on delayed renewal risk models‎$c‎Jae-Kyung Woo
520  ‎$a‎Some extensions to the delayed renewal risk models are considered. In particular, the independence assumption between the interclaim time and the subsequent claim size is relaxed, and the classical Gerber-Shiu penalty function is generalized by incorporating more variables. As a result, general structures regarding various joint densities of ruin related quantities as well as their probabilistic interpretations are provided. The numerical example in case of time-dependent claim sizes is provided, and also the usual delayed model with time-independent claim sizes is discussed including a special case with exponential claim sizes. Furthermore, asymptotic formulas for the associated compound geometric tail for the present model are derived using two alternative methods.
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎03/05/2010 Volumen 40 Número 1 - mayo 2010 , p. 199-219