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Gröbner Basis Methods in Polynomial Modelling

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COMPSTAT

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Abstract

The Gröbner basis (G-basis) method in the design of experiments was introduced by Pistone & Wynn (1996) and followed up by several strands of work one in particular addressing real practical applications: Holliday, Pistone, Riccomagno & Wynn (1997). This paper continues this latter series.

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References

  • Caboara, M., Pistone, G., Riccomagno, E. & Wynn, H. P. (1997). The fan of an experimental design. Annals of Statistics (submitted).

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  • Caboara, M. & Robbiano, L. (1997) Families of Ideals in Statistics Proc. ISSAC ’97, ACM, 404–417.

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  • Collart, S., Kalkbrener, M. & Mall, D. (1997) Converting bases with the Gröbner walk J. Symb. Comput., 24, 465–469.

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  • D. Cox, J. Little & D. O’Shea(1997). Ideal, Varieties, and Algorithms, 2 edition. New York: Springer-Verlag.

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  • Holliday, T., Pistone, T., Riccomagno & Wynn H. P. (1997). The Application of Algebraic Geometry to the Analysis of Designed Experiments: a case study. Computational Statistics, in press.

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  • Mora, T. & Robbiano, L. (1988). The Gröbner fan of an ideal J. Symb. Comput., 6, 183–208.

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  • Pistone, G. & Wynn, H. P. (1996). Generalised confounding with Gröbner bases. Biometrika, 83, 653–666.

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Warwick, Coventry, CV4 7AL, UK

    R. A. Bates, B. Giglio, E. Riccomagno & H. P. Wynn

Authors
  1. R. A. Bates
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  2. B. Giglio
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  3. E. Riccomagno
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  4. H. P. Wynn
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Editor information

Editors and Affiliations

  1. Statistics Department, IACR-Rothamsted, AL5 2JQ, Harpenden, Herts, UK

    Roger Payne

  2. Department of Mathematics, University of Bristol, BS8 1TW, Bristol, UK

    Peter Green

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© 1998 Springer-Verlag Berlin Heidelberg

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Bates, R.A., Giglio, B., Riccomagno, E., Wynn, H.P. (1998). Gröbner Basis Methods in Polynomial Modelling. In: Payne, R., Green, P. (eds) COMPSTAT. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-01131-7_18

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  • DOI: https://doi.org/10.1007/978-3-662-01131-7_18

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1131-5

  • Online ISBN: 978-3-662-01131-7

  • eBook Packages: Springer Book Archive

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