The algebra of interpolatory cubature formulæ for generic nodes

DOI10.1007/s11222-013-9392-6zbMath1325.62148arXiv1207.3143OpenAlexW2006965059MaRDI QIDQ892808

Claudia Fassino, Eva Riccomagno, Giovanni Pistone

Publication date: 12 November 2015

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3143

zbMATH Keywords

design of experimentsorthogonal polynomialsalgebraic statisticscubature formulæevaluation of expectations

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Factorial statistical designs (62K15) Numerical integration (65D30) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

The Algebraic Method in Quadrature for Uncertainty Quantification

Uses Software

• CoCoA

Cites Work

• Lectures on algebraic statistics
• Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
• Classification of two-level factorial fractions
• Polynomial interpolation in several variables, cubature formulae, and ideals
• Algebraic and Geometric Methods in Statistics
• Orthogonal polynomials in Stein's method
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