In this paper, we study the asymptotic distribution of the maxima of suprema of dependent Gaussian processes with trend. For different scales of the time horizon we obtain different normalizing functions for the convergence of the maxima. The obtained results not only have potential applications in estimating the delay of certain Gaussian fork-join queueing systems but also provide interesting insights to the extreme value theory for triangular arrays of random variables with row-wise dependence.

翻译：在本文中, 我们研究依赖高斯进程高斯的顶点和趋势的无症状分布。 对于不同的时间范围, 我们获得不同的时间范围, 以统一最高点。 所获得的结果不仅在估计某些高西亚叉子队列系统的延迟方面可能具有潜在应用性, 而且还为具有行向依赖性的随机变量三角阵列的极端价值理论提供了有趣的洞察力。