Being the max-analogue of $\alpha$-stable stochastic processes, max-stable processes form one of the fundamental classes of stochastic processes. With the arrival of sufficient computational capabilities, they have become a benchmark in the analysis of spatio-temporal extreme events. Simulation is often a necessary part of inference of certain characteristics, in particular for future spatial risk assessment. In this article we give an overview over existing procedures for this task, put them into perspective of one another and use some new theoretical results to make comparisons with respect to their properties.

翻译：作为alpha$- sable stochestic 进程的最高比对,最大比对过程构成随机过程的基本类别之一。随着充分的计算能力的到来,它们已成为分析时空极端事件的基准。模拟往往是某些特征推论的必要部分,特别是对于未来的空间风险评估而言。在本篇文章中,我们概述了这一任务的现有程序,把它们放在一个角度上,并使用一些新的理论结果对其特性进行比较。