This paper considers a bidimensional delay-claim risk model with constant force of interest, in which each main claim may induce a delayed claim after a random time. Specifically, if the main claims and delayed claims follow the subexponential distributions with some dependence structure, we obtain some precise asymptotic estimates for the finite-time ruin probabilities. In addition, some numerical simulations are presented to test the performance of the theoretical results.

中文翻译：

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具有次指数声明的二维延迟声明风险模型的渐近有限时间破坏概率

本文考虑了一个具有恒定兴趣力的二维延迟索赔风险模型，其中每个主要索赔都可能在随机时间后引发延迟索赔。具体来说，如果主要索赔和延迟索赔遵循具有某种依赖结构的次指数分布，我们可以获得有限时间破产概率的一些精确的渐近估计。此外，还给出了一些数值模拟来检验理论结果的性能。