Open AccessThe precision space of interpolatory cubature formulæ
Author(s) -
Claudia Fassino,
Eva Riccomagno
Publication year - 2015
Publication title -
journal of algebraic statistics
Language(s) - English
Resource type - Journals
ISSN - 1309-3452
DOI - 10.18409/jas.v6i1.36
Subject(s) - mathematics , polynomial , space (punctuation) , commutative property , value (mathematics) , random error , work (physics) , vector space , algebra over a field , pure mathematics , mathematical analysis , computer science , statistics , operating system , mechanical engineering , engineering
Methods from Commutative Algebra and Numerical Analysis are combined to address a problem common to many disciplines: the estimation of the expected value of a polynomial of a random vector using a linear combination of a finite number of its values. In this work we remark on the error estimation in cubature formulæ for polynomial functions and introduce the notion of a precision space for a cubature rule.