Some remarks on delayed renewal risk models

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      <subfield code="a">Woo, Jae-Kyung</subfield>
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      <subfield code="a">Some remarks on delayed renewal risk models</subfield>
      <subfield code="c">Jae-Kyung Woo</subfield>
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      <subfield code="a">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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      <subfield code="t">Astin bulletin</subfield>
      <subfield code="d">Belgium : ASTIN and AFIR Sections of the International Actuarial Association</subfield>
      <subfield code="x">0515-0361</subfield>
      <subfield code="g">03/05/2010 Volumen 40 Número 1 - mayo 2010 , p. 199-219</subfield>
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