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April 1997 When is a probability measure determined by infinitely many projections?
Claude Bélisle, Jean-Claude Massé, Thomas Ransford
Ann. Probab. 25(2): 767-786 (April 1997). DOI: 10.1214/aop/1024404418

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.

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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

Information

Published: April 1997
First available in Project Euclid: 18 June 2002

zbMATH: 0878.60006
MathSciNet: MR1434125
Digital Object Identifier: 10.1214/aop/1024404418

Subjects:
Primary: 60E05
Secondary: 60E10

Rights: Copyright © 1997 Institute of Mathematical Statistics

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Vol.25 • No. 2 • April 1997
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