作者nina888 (= =)
看板Statistics
标题[问题] 证明题计算-Borel-Cantelli Lemma
时间Fri Mar 11 15:57:53 2011
如题,
Let X1,X2,...i.i.d with P(Xi>x)=e^(-x),
let Mn=max(Xm) 1<=m<=n,
Show that (1) limsup(Xn/logn)=1 as n->无穷大 a.s.
(2) (Mn/logn)-> 1 a.s.
此题出自书 Probability:Theory and Examples
作者: Rick Durrett
Chapter1 Section1.6:Borel-Cantelli Lemmas
不知道该如何下笔证这一题型,
有高手能给我hint之类的吗???
谢谢~~~
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 114.32.5.203
※ 编辑: nina888 来自: 114.32.5.203 (03/11 16:16)