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.
Citation
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
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