Algebraic Statistics: Computational Commutative Algebra in Statistics

1st Edition

Giovanni Pistone, Eva Riccomagno, Henry P. Wynn

Chapman and Hall/CRC
Published December 21, 2000
Reference - 184 Pages
ISBN 9781584882046 - CAT# C2042
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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Summary

Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics.

It begins with an introduction to Gröbner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model.

As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science.