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The finite-time ruin probability of time-dependent risk model with stochastic return and Brownian perturbation
Japan Journal of Industrial and Applied Mathematics ( IF 0.9 ) Pub Date : 2020-02-13 , DOI: 10.1007/s13160-020-00406-2 Baoyin Xun , Kaiyong Wang , Kam C. Yuen
Japan Journal of Industrial and Applied Mathematics ( IF 0.9 ) Pub Date : 2020-02-13 , DOI: 10.1007/s13160-020-00406-2 Baoyin Xun , Kaiyong Wang , Kam C. Yuen
This paper considers a dependent risk model with stochastic return and Brownian perturbation, where there exists a dependence structure between the claim sizes and the inter-arrival times and the price process of the investment portfolio is a geometric Lévy process. When the claim sizes have heavy-tailed distributions, the asymptotic lower and upper bounds of the finite-time ruin probability have been given.
中文翻译:
具有随机收益和布朗扰动的时间相关风险模型的有限时间破产概率
本文考虑具有随机收益和布朗扰动的相关风险模型,其中索赔规模与到达间隔时间之间存在相关结构,投资组合的价格过程是几何Lévy过程。当索赔规模具有重尾分布时,给出了有限时间破产概率的渐近下界和上界。
更新日期:2020-02-13
中文翻译:
具有随机收益和布朗扰动的时间相关风险模型的有限时间破产概率
本文考虑具有随机收益和布朗扰动的相关风险模型,其中索赔规模与到达间隔时间之间存在相关结构,投资组合的价格过程是几何Lévy过程。当索赔规模具有重尾分布时,给出了有限时间破产概率的渐近下界和上界。