Abstract
The well-known Cramér-Wold theorem states that a Borel probability measure on $\mathbb{R}^d$ 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.
Citation
Claude Bélisle. Jean-Claude Massé. Thomas Ransford. "When is a probability measure determined by infinitely many projections?." Ann. Probab. 25 (2) 767 - 786, April 1997. https://doi.org/10.1214/aop/1024404418
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