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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounding the support of a measure from its marginal moments


Author: Jean B. Lasserre
Journal: Proc. Amer. Math. Soc. 139 (2011), 3375-3382
MSC (2010): Primary 60B05, 90C22
Published electronically: January 26, 2011
MathSciNet review: 2811291
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Abstract: Given all moments of the marginals of a measure $ \mu$ on $ \mathbb{R}^n$, one provides (a) explicit bounds on its support and (b) a numerical scheme to compute the smallest box that contains the support of $ \mu$.


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Additional Information

Jean B. Lasserre
Affiliation: LAAS-CNRS and Institute of Mathematics, University of Toulouse, LAAS, 7 avenue du Colonel Roche, 31077 Toulouse Cédex 4, France
Email: lasserre@laas.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10865-7
PII: S 0002-9939(2011)10865-7
Keywords: Inverse problems, moments of a measure, semidefinite programming
Received by editor(s): August 17, 2010
Published electronically: January 26, 2011
Communicated by: Edward C. Waymire
Article copyright: © Copyright 2011 American Mathematical Society