The algebra of interpolatory cubature formulae for generic nodes
classification
🧮 math.ST
math.ACstat.TH
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cubaturealgebraclassicalcommutativecomputingconsiderelementaryexpected
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We consider the classical problem of computing the expected value of a real function $f$ of the $d$-variate random variable $X$ using cubature formul\ae. We use in synergy tools from Commutative Algebra for cubature rul\ae, from elementary orthogonal polynomial theory and from Probability.
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