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Asymptotics for a time-dependent by-claim model with dependent subexponential claims

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  • Yuan, Meng
  • Lu, Dawei

Abstract

Consider a by-claim risk model with a constant force of interest, where each main claim may induce a by-claim after a random time. We propose a time-claim-dependent framework, that incorporates dependence between not only the waiting time and the claim but also the main claim and the corresponding by-claim. Based on this framework, we derive some asymptotic estimates for the finite-time ruin probabilities in the case of subexponential claims. We also provide examples and verify the assumptions on dependence. Numerical studies are conducted to examine the performance of these asymptotic formulas.

Suggested Citation

  • Yuan, Meng & Lu, Dawei, 2023. "Asymptotics for a time-dependent by-claim model with dependent subexponential claims," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 120-141.
    • Handle: RePEc:eee:insuma:v:112:y:2023:i:c:p:120-141
    DOI: 10.1016/j.insmatheco.2023.07.001
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    References listed on IDEAS

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