Applications of Asymptotic Structures for Dependence, Distribution Tails and Characteristic Functions

主要研究者将研究在渐近结构下的依赖、分布尾和特征函数的推理问题。本研究将在几个一般领域进行，包括平稳序列的极值，平稳序列的部分和和非参数函数估计。许多新技术将被开发，包括使用傅立叶分析来确定非参数函数估计的收敛率。

The principal investigator will study the inference problems in the setting of asymptotic structures for dependence, distribution tails and characteristic functions. This research will be carried out in several general areas, including extremes of stationary sequences, partial sums of a stationary sequence and nonparametric function estimation. A number of new techniques will be developed, including the use of Fourier analysis to determine rates of convergence in nonparametric function estimation.