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Asymptotic Behavior of the Finite-Time Ruin Probability with Constant Interest Force and WUOD Heavy-Tailed Claims

Author

Listed:
  • Gao Qingwu

    (Nanjing Audit University)

  • Gu Peng

    (Nanjing University)

  • Jin Na

    (Nanjing Times Media Co., Ltd.)

Abstract

In this paper, we investigate the asymptotic behavior of the finite-time ruin probability in a general risk model with constant interest force, in which the claims are of a widely upper orthant dependence structure, belonging to the intersection of long-tailed class and dominant variation class, and arriving according to an arbitrary counting process. The results we obtained can extend and improve some existing results.

Suggested Citation

  • Gao Qingwu & Gu Peng & Jin Na, 2012. "Asymptotic Behavior of the Finite-Time Ruin Probability with Constant Interest Force and WUOD Heavy-Tailed Claims," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(1), pages 1-16, February.
    • Handle: RePEc:bpj:apjrin:v:6:y:2012:i:1:n:5
    DOI: 10.1515/2153-3792.1129
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    References listed on IDEAS

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    1. Hao, Xuemiao & Tang, Qihe, 2008. "A uniform asymptotic estimate for discounted aggregate claims with subexponential tails," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 116-120, August.
    2. Liu, Li, 2009. "Precise large deviations for dependent random variables with heavy tails," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1290-1298, May.
    3. Tang, Qihe & Tsitsiashvili, Gurami, 2003. "Precise estimates for the ruin probability in finite horizon in a discrete-time model with heavy-tailed insurance and financial risks," Stochastic Processes and their Applications, Elsevier, vol. 108(2), pages 299-325, December.
    4. Chen, Yiqing & Ng, Kai W., 2007. "The ruin probability of the renewal model with constant interest force and negatively dependent heavy-tailed claims," Insurance: Mathematics and Economics, Elsevier, vol. 40(3), pages 415-423, May.
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