English

The algebra of interpolatory cubature formulae for generic nodes

Statistics Theory 2013-03-14 v3 Commutative Algebra Statistics Theory

Abstract

We consider the classical problem of computing the expected value of a real function ff of the dd-variate random variable XX using cubature formul\ae. We use in synergy tools from Commutative Algebra for cubature rul\ae, from elementary orthogonal polynomial theory and from Probability.

Keywords

Cite

@article{arxiv.1207.3143,
  title  = {The algebra of interpolatory cubature formulae for generic nodes},
  author = {Claudia Fassino and Giovanni Pistone and Eva Riccomagno},
  journal= {arXiv preprint arXiv:1207.3143},
  year   = {2013}
}