Some remarks on delayed renewal risk models

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<title>Some remarks on delayed renewal risk models</title>
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<namePart>Woo, Jae-Kyung</namePart>
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<abstract displayLabel="Summary">Some 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.
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<note type="statement of responsibility">Jae-Kyung Woo</note>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
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<text>03/05/2010 Volumen 40 Número 1 - mayo 2010 , p. 199-219</text>
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