Algebraic Statistics: Computational Commutative Algebra in Statistics

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CRC Press, Dec 21, 2000 - Mathematics - 184 pages
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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.

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About the author (2000)

Pistone is a Professor of Mathematical Statistics in the Mathematics Department at the Politecnico, Torino, Italy.

Eva Riccomagno is Associate Professor in the Department of Mathematics at the University of Genova.

Henry P. Wynn is Professor of Statistics at the London School of Economics from 2003, where he leads the Decision Support and Risk Group. He holds the Guy Medal in Silver from the Royal Statistical Society, is an Honorary Fellow of the Institute of Actuaries, and a Fellow of the Institute of Mathematical Statistics.

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