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Asymptotics for the ruin probability of a time-dependent renewal risk model with geometric Lévy process investment returns and dominatedly-varying-tailed claims

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  • Fu, Ke-Ang
  • Ng, Cheuk Yin Andrew

Abstract

Consider a continuous-time renewal risk model, in which the claim sizes and inter-arrival times form a sequence of independent and identically distributed random pairs, with each pair obeying a dependence structure. Suppose that the surplus is invested in a portfolio whose return follows a Lévy process. When the claim-size distribution is dominatedly-varying tailed, asymptotic estimates for the finite- and infinite-horizon ruin probabilities are obtained.

Suggested Citation

  • Fu, Ke-Ang & Ng, Cheuk Yin Andrew, 2014. "Asymptotics for the ruin probability of a time-dependent renewal risk model with geometric Lévy process investment returns and dominatedly-varying-tailed claims," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 80-87.
    • Handle: RePEc:eee:insuma:v:56:y:2014:i:c:p:80-87
    DOI: 10.1016/j.insmatheco.2014.04.001
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    References listed on IDEAS

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    Cited by:

    1. Liu, Yang & Chen, Zhenlong & Fu, Ke-Ang, 2021. "Asymptotics for a time-dependent renewal risk model with subexponential main claims and delayed claims," Statistics & Probability Letters, Elsevier, vol. 177(C).
    2. Yuan, Meng & Lu, Dawei, 2022. "Precise large deviation for sums of sub-exponential claims with the m-dependent semi-Markov type structure," Statistics & Probability Letters, Elsevier, vol. 185(C).
    3. Wenhao Li & Bolong Wang & Tianxiang Shen & Ronghua Zhu & Dehui Wang, 2017. "Research on ruin probability of risk model based on AR(1) series," Papers 1710.10692, arXiv.org.
    4. Chen, Yiqing & White, Toby & Yuen, Kam Chuen, 2021. "Precise large deviations of aggregate claims with arbitrary dependence between claim sizes and waiting times," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 1-6.
    5. 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.

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