English

Bounding the support of a measure from its marginal moments

Optimization and Control 2010-11-02 v1

Abstract

Given all moments of the marginals of a measure on Rn, one provides (a) explicit bounds on its support and (b), a numerical scheme to compute the smallest box that contains the support. It consists of solving a hierarchy of generalized eigenvalue problems associated with some Hankel matrices.

Keywords

Cite

@article{arxiv.1011.0138,
  title  = {Bounding the support of a measure from its marginal moments},
  author = {Jean Lasserre},
  journal= {arXiv preprint arXiv:1011.0138},
  year   = {2010}
}

Comments

To appear in Proc. Amer. Math. Soc