When is a probability measure determined by infinitely many projections?
Claude Bélisle, Jean-Claude Massé, and Thomas Ransford
Source: Ann. Probab. Volume 25, Number 2
(1997), 767-786.
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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Keywords: Cramér-Wold theorem; probability measure; characteristic function; projection; analytic function; quasi-analytic class; determination
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1024404418
Mathematical Reviews number (MathSciNet): MR1434125
Digital Object Identifier: doi:10.1214/aop/1024404418
Zentralblatt MATH identifier: 0878.60006
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