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Uniform asymptotics for the finite-time ruin probability with upper tail asymptotically independent claims and constant force of interest

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  • Gao, Qingwu
  • Liu, Xijun

Abstract

This paper investigates the finite-time ruin probability in a risk model with constant force of interest, upper tail asymptotically independent claims, and a general claim arrival process. We obtain a uniformly asymptotic formula for times in a finite interval. In particular, with a certain dependence among the inter-arrival times, the formula holds uniformly for all times.

Suggested Citation

  • Gao, Qingwu & Liu, Xijun, 2013. "Uniform asymptotics for the finite-time ruin probability with upper tail asymptotically independent claims and constant force of interest," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1527-1538.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:6:p:1527-1538
    DOI: 10.1016/j.spl.2013.02.018
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    References listed on IDEAS

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    1. Chen Yu & Zhang Weiping & Liu Jie, 2010. "Asymptotic Tail Probability of Randomly Weighted Sum of Dependent Heavy-Tailed Random Variables," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 4(2), pages 1-11, July.
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    5. Chen, Yiqing & Yuen, Kam C., 2012. "Precise large deviations of aggregate claims in a size-dependent renewal risk model," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 457-461.
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