Mathematical Sciences: Asymptotics for Long Memory Processes

这项研究处于概率和统计学的交界处。主要研究人员将研究二次型在长期依赖下的极限行为。在长期独立的情况下，她还将考虑削减金额。在进行统计分析时所作的假设通常包括观察数据的独立性或弱相关性。这并不总是现实的。这项研究涉及对表现出长期相关性的数据的研究。

This research is at the interface between probability and statistics. The principal investigator will study the limit behavior of quadratic forms under long-range dependence. She will also consider trimmed sums in the case of long-range independence. The assumptions made in performing a statistical analysis typically include the independence or weak dependence of the observations. This is not always realistic. This research is concerned with the study of data exhibiting long-range dependence.