论文标题

二维布朗风险模型的巴黎和累积巴黎破坏概率

Parisian & Cumulative Parisian Ruin Probability for Two-Dimensional Brownian Risk Model

论文作者

Kriukov, Nikolai

论文摘要

在古典布朗风险模型中,巴黎的破坏概率与标准毁灭概率不同,即使在一维设置中也无法明确计算。诉诸渐近理论时,我们得出了这一贡献,即巴黎和累积巴黎毁灭性概率的渐近近似,当初始资本增加到无限限时,二维布朗风险模型的差异和同时破坏了时间。

Parisian ruin probability in the classical Brownian risk model, unlike the standard ruin probability can not be explicitly calculated even in one-dimensional setup. Resorting on asymptotic theory, we derive in this contribution an asymptotic approximations of both Parisian and cumulative Parisian ruin probability and simultaneous ruin time for the two-dimensional Brownian risk model when the initial capital increases to infinity.

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