On the analysis of time dependent claims in a class of birth process claim count models

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      <subfield code="a">On the analysis of time dependent claims in a class of birth process claim count models</subfield>
      <subfield code="c">David Landriault,  Gordon E. Willmot, Di Xu</subfield>
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      <subfield code="a">An integral representation is derived for the sum of all claims over a finite interval when the claim value depends upon its incurral time. These time dependent claims, which generalize the usual compound model for aggregate claims, have insurance applications involving models for inflation and payment delays. The number of claims process is assumed to be a (possibly delayed) nonhomogeneous birth process, which includes the Poisson process, contagion models, and the mixed Poisson process, as special cases. Known simplified compound representations in these special cases are easily generalized to the conditional case, given the number of claims at the beginning of the interval. Applications to the case involving two stages are also considered.</subfield>
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      <subfield code="t">Insurance : mathematics and economics</subfield>
      <subfield code="d">Oxford : Elsevier, 1990-</subfield>
      <subfield code="x">0167-6687</subfield>
      <subfield code="g">01/09/2014 Volumen 58 Número 1 - septiembre 2014 </subfield>
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