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Gröbner Basis Methods in Mixture Experiments and Generalisations

  • Beatrice Giglio
  • Henry P. Wynn
  • Eva Riccomagno
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 51)

Abstract

The theory of mixture designs has a considerable history. We address here the important issue of the analysis of an experiment having in mind the algebraic interpretation of the structural restriction Σx i = 1. We present an approach for rewriting models for mixture experiments, based on constructing homogeneous orthogonal polynomials using Gröbner bases. Examples are given utilising the approach.

Keywords

mixture experiments Gröbner Bases orthogonal polynomials homogeneous polymomials 

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References

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Beatrice Giglio
    • 1
  • Henry P. Wynn
    • 1
  • Eva Riccomagno
    • 2
  1. 1.Department of StatisticsUniversity of WarwickCoventryUK
  2. 2.EURANDOMEindhovenNetherlands

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