Gröbner basis strategies in regression

Journal of Applied Statistics

Volumn 27, Issue 7, 2000, Pages 923-938

  Giglio, Beatrice ^a   Riccomagno, Eva ^a   Wynn, Henry P ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001402039     PISSN: 02664763     EISSN: None     Source Type: Journal    
DOI: 10.1080/02664760050120597     Document Type: Article

References (11)

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2. CAPANI, A., NIESI, G. & ROBBIANO, L. (1998) CoCoA, a system for doing computations in commutative algebra. Available via anonymous ftp from: cocoa.dima.unige.it.
3. COX, D., LITTLE, J. & O'SHEA, D. (1997) Ideal, Varieties and Algorithms, 2nd edn (New York, Springer Verlag).
4. DRAPER, N. R. & SMITH, H. (1981) Applied Regression Analysis, 2nd edn (New York, Wiley).
5. HOLLIDAY, T., LAWRANCE, A. J. & DAVIS, T. P. (1998) Engine mapping experiments: a two-stage regression approach, Technometrics 40(2), pp. 120-126.
6. HOLLIDAY, T., PISTONE, G., RICCOMAGNO, E. & WYNN, H. P. (1999) The application of computational geometry to the design and analysis of experiments: a case study, Computational Statistics, 14(2), pp. 213-231.
7. MCCULLAGH, P. & NELDER, J. A. (1989) Generalised Linear Models, 2nd edn (London, Chapman & Hall).
8. PISTONE, G. & WYNN, H. P. (1996) Generalised confounding with Gröbner bases, Biometrika 83(3), pp. 653-666.
9. RICCOMAGNO, E. (1997) Algebraic identifiability in experimental design and related topics. PhD thesis, University of Warwick.
10. ROBBIANO, L. (1985) Term orderings on the polynomial rings. EUROCAL'85, LNC-Series 204, pp. 513-517.
11. ROBBIANO, L. (1998) Gröbner bases and statistics, Groebner Bases and Applications (Proceedings of the Conference, 33 Years of Groebner Bases). In: B. BUCHBERGER & F. WINKLER (eds) (Cambridge University Press, London Mathematical Society Lecture Notes, 251), pp. 179-204.