When is a probability measure determined by infinitely many projections?
成果类型：
Article
署名作者：
Bélisle, C; Massé, JC; Ransford, T
署名单位：
Laval University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1997
页码：
767-786
关键词：
摘要：
The well-known Cramer-Wold theorem states that a Borel probability measure on R-d is uniquely determined by the totality of its one-dimensional projections. In this paper we examine various conditions under which a probability measure is determined by a subset of its (d - 1)-dimensional orthogonal projections.