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Asymptotics of the finite-time ruin probability of dependent risk model perturbed by diffusion with a constant interest rate

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  • Kaiyong Wang
  • Yanzhu Mao

Abstract

This paper considers a dependent risk model perturbed by diffusion with a constant interest rate, in which the claim sizes and the inter-arrival times have some dependence structures. When the claim sizes have a dominated varying-tailed distribution, the asymptotics of the finite-time ruin probability of the risk model have been obtained, which shows that the asymptotics of the finite-time ruin probability is insensitive to the perturbed term.

Suggested Citation

  • Kaiyong Wang & Yanzhu Mao, 2021. "Asymptotics of the finite-time ruin probability of dependent risk model perturbed by diffusion with a constant interest rate," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(4), pages 932-943, February.
  • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:4:p:932-943
    DOI: 10.1080/03610926.2019.1643888
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