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August 2002 Bounds on measures satisfying moment conditions
Jean B. Lasserre
Ann. Appl. Probab. 12(3): 1114-1137 (August 2002). DOI: 10.1214/aoap/1031863183

Abstract

Given a semialgebraic set $S\subset \mathbb{R}^n$, we provide a numerical approximation procedure that provides upper and lower bounds on $\mu(S)$, for measures $\mu$ that satisfy some given moment conditions. The bounds are obtained as solutions of positive semidefinite programs that can be solved via standard software packages.

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Jean B. Lasserre. "Bounds on measures satisfying moment conditions." Ann. Appl. Probab. 12 (3) 1114 - 1137, August 2002. https://doi.org/10.1214/aoap/1031863183

Information

Published: August 2002
First available in Project Euclid: 12 September 2002

zbMATH: 1073.90534
MathSciNet: MR1925454
Digital Object Identifier: 10.1214/aoap/1031863183

Subjects:
Primary: 6008 , 60D05 , 90C22 , 90C25

Keywords: geometric probability , Moment problem , Probability , Tchebycheff bounds

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.12 • No. 3 • August 2002
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