论文标题
等级，库cul和定居者
Ranks, copulas, and permutons
论文作者
论文摘要
我们回顾了一方面离散数学与概率理论与统计数据之间的界面的最新发展，特别是马尔可夫链及其边界理论与随机增长排列的渐近学有关的使用。排列连接有限集的总订单，这导致使用模式频率。这种观点与非参数统计的经典概念密切相关。我们提供了几种应用，并讨论相关的主题和研究领域，特别是对其他组合家庭的处理，排列的周期视图以及通过交换性的方法。
We review a recent development at the interface between discrete mathematics on one hand and probability theory and statistics on the other, specifically the use of Markov chains and their boundary theory in connection with the asymptotics of randomly growing permutations. Permutations connect total orders on a finite set, which leads to the use of a pattern frequencies. This view is closely related to classical concepts of nonparametric statistics. We give several applications and discuss related topics and research areas, in particular the treatment of other combinatorial families, the cycle view of permutations, and an approach via exchangeability.
