
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>The precision space of interpolatory cubature formulæ</dc:title>
  <dc:subject>Design of experiments</dc:subject>
  <dc:subject>Interpolatory cubature formulæ</dc:subject>
  <dc:subject>Evaluation of expectations</dc:subject>
  <dc:subject>Expected values</dc:subject>
  <dc:subject>Algebraic Statistics</dc:subject>
  <dc:description>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.</dc:description>
  <dc:contributor>Fassino, Claudia</dc:contributor>
  <dc:contributor>Riccomagno, Eva</dc:contributor>
  <dc:date>2015</dc:date>
  <dc:date>2015-06-11</dc:date>
  <dc:type>Article</dc:type>
  <dc:format></dc:format>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>islandora:1007815</dc:identifier>
  <dc:identifier>http://hdl.handle.net/10560/islandora:1007815</dc:identifier>
  <dc:source>MATH / Applied Mathematics</dc:source>
  <dc:source>Illinois Institute of Technology</dc:source>
  <dc:source>Journal of Algebraic Statistics</dc:source>
  <dc:language>en</dc:language>
  <dc:rights>Open Access</dc:rights>
</oai_dc:dc>