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Uniform asymptotic estimate for finite-time ruin probabilities of a time-dependent bidimensional renewal model

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  • Jiang, Tao
  • Wang, Yuebao
  • Chen, Yang
  • Xu, Hui

Abstract

This paper studies a bidimensional renewal risk model with constant force of interest and subexponentially distributed claim size vector. Some uniform asymptotic estimates for finite-time ruin probabilities are established when the claim size vector and its inter-arrival time are subject to certain general dependence structure.

Suggested Citation

  • Jiang, Tao & Wang, Yuebao & Chen, Yang & Xu, Hui, 2015. "Uniform asymptotic estimate for finite-time ruin probabilities of a time-dependent bidimensional renewal model," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 45-53.
    • Handle: RePEc:eee:insuma:v:64:y:2015:i:c:p:45-53
    DOI: 10.1016/j.insmatheco.2015.04.006
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    References listed on IDEAS

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    4. Kaiyong Wang & Yuebao Wang & Qingwu Gao, 2013. "Uniform Asymptotics for the Finite-Time Ruin Probability of a Dependent Risk Model with a Constant Interest Rate," Methodology and Computing in Applied Probability, Springer, vol. 15(1), pages 109-124, March.
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    6. 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.
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    13. Yang, Haizhong & Li, Jinzhu, 2014. "Asymptotic finite-time ruin probability for a bidimensional renewal risk model with constant interest force and dependent subexponential claims," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 185-192.
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    Cited by:

    1. Fu, Ke-Ang & Ng, Cheuk Yin Andrew, 2017. "Uniform asymptotics for the ruin probabilities of a two-dimensional renewal risk model with dependent claims and risky investments," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 227-235.
    2. Cheng, Ming & Konstantinides, Dimitrios G. & Wang, Dingcheng, 2022. "Uniform asymptotic estimates in a time-dependent risk model with general investment returns and multivariate regularly varying claims," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    3. Anita Behme & Philipp Lukas Strietzel, 2021. "A $$2~{\times }~2$$ 2 × 2 random switching model and its dual risk model," Queueing Systems: Theory and Applications, Springer, vol. 99(1), pages 27-64, October.
    4. 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.
    5. Ming Cheng & Dingcheng Wang, 2023. "Uniform Asymptotic Estimate for the Ruin Probability in a Renewal Risk Model with Cox–Ingersoll–Ross Returns," Mathematics, MDPI, vol. 11(5), pages 1-10, March.

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