In this paper we consider some generalisations of the classical $d$-dimensional Brownian risk model. This contribution derives some non-asymptotic bounds for simultaneous ruin probabilities of interest. In addition, we obtain non-asymptotic bounds also for the case of general trend functions and convolutions of our original risk model.

中文翻译：

---

多维风险模型中破产概率的统一界限

在本文中，我们考虑了经典的一些概括$d$维布朗风险模型。这一贡献为感兴趣的同时毁灭概率推导出了一些非渐近界。此外，对于一般趋势函数和原始风险模型的卷积，我们也获得了非渐近界。