论文标题
通过凸面界限的界限
Bounding suprema of canonical processes via convex hull
论文作者
论文摘要
我们讨论了基于将其索引设置的索引包含到一个良好控件集的凸面上的界限界限的方法。虽然上限是立即的，但迄今为止仅针对狭窄的常规随机过程建立了反向估计。我们表明，对于特定的指数集，包括任意椭圆形，规律性假设可能会大大减弱。
We discuss the method of bounding suprema of canonical processes based on the inclusion of their index set into a convex hull of a well-controlled set of points. While the upper bound is immediate, the reverse estimate was established to date only for a narrow class of regular stochastic processes. We show that for specific index sets, including arbitrary ellipsoids, regularity assumptions may be substantially weakened.
