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Estimate for the Finite-time Ruin Probability in the Discrete-time Risk Model with Insurance and Financial Risks

机译:具有保险和金融风险的离散时间风险模型中有限时间破产概率的估计

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摘要

In this article, we consider a discrete-time risk model with insurance and financial risks. We derive some refinements of a general asymptotic formula for the finite-time ruin probability under the assumptions that the net losses follow a common distribution in the intersection between the subexponential class and the Gumbel maximum domain of attraction, and the stochastic discount factors of the risky asset have a common distribution with extended regular variation. The obtained asymptotic upper and lower bounds are transparent and computable.
机译:在本文中,我们考虑具有保险和金融风险的离散时间风险模型。在假设净损失遵循次指数类和Gumbel最大吸引域的交点以及风险的随机折现因子的交点遵循共同分布的假设下,我们对有限时间破产概率的一般渐近公式进行了一些改进。资产具有共同的分布,并具有扩展的规则变化。所获得的渐近上限和下限是透明且可计算的。

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