The limit points in (Rd)over-bar of averages of IID random variables
成果类型：
Article
署名作者：
Erickson, KB
署名单位：
University of Washington; University of Washington Seattle
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2000
页码：
498-510
关键词：
摘要：
Given any closed subset C of (R-d)overbar, containing a pair of antipodal points at oo, there is a sequence of independent and identically distributed random variables {X-i} such that the set of limit points (in the topology of (R-d)overbar) of {(X-1 +...+X-t)/t}(t greater than or equal to 1) equals C. Here (R-d) is the compact space gotten by adjoining the sphere, S(d-1)infinity at infinity.