Mathematical Sciences: Probability Theory in Infinite Dimensional Spaces with Applications

首席研究员将继续他的研究 无限维空间中的概率，特别是 在一般类上索引的经验过程的收敛 函数及其在统计中的应用。 他将考虑 不同极限的一致泛函数类 定理，参数和非参数自助，U- 过程和可微泛函的一般目的是 增加了现代经验过程理论的适用性。 他还将继续研究 最大无限可分过程和最大稳定过程理论， 随机集合

The principal investigator will continue his research in probability in infinite dimensional spaces, particularly on convergence of empirical processes indexed over general classes of functions and their applications in statistics. He will consider uniform and universal classes of functions for different limit theorems, the parametric and the non-parametric bootstrap, U- processes and differentiable functionals with the general aim of increasing the applicability of modern empirical process theory. He will also continue to study the characterization and limit theory of max infinitely divisible and max stable processes, and random sets.