题目：The Limit Law of the Iterated Logarithm in Banach Space

报告人：Professor Li Deli(加拿大Lakehead大学数学科学系）

【Abstract】In a recent paper by Chen (2013) the limit law of the iterated logarithm for the partial sums of i.i.d. real-valued random variables has been established. In this note we look at the corresponding problem in the Banach space setting. Letbe a real separable Banach space with topological dual . Let be a sequence of i.i.d. -valued random variables and set and ，. We show that provided that其中and is the unit ball of .

时间：2013年6月26日（周三）下午16:00开始

地点：数学系致远楼107室