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Algebraic Statistics: Computational Commutative Algebra in Statistics de Giovanni Pistone

Algebraic Statistics: Computational Commutative Algebra in Statistics: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Autor Giovanni Pistone, Eva Riccomagno, Henry P. Wynn
en Limba Engleză Hardback – 21 dec 2000
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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Specificații

ISBN-13: 9781584882046
ISBN-10: 1584882042
Pagini: 178
Ilustrații: 20 tables and 625 equations
Dimensiuni: 156 x 234 x 11 mm
Greutate: 0.46 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Public țintă

Professional

Cuprins

Introduction. Algebraic Models. The Direct Theory. Two-Level Designs. Application in Logic and Reliability. Probability and Statistics.

Recenzii

"...authors have been the predominant contributors to the field.... for anyone who wants to learn about, and perhaps contribute to, the field, this monograph is undoubtedly the place to start."
-Biometrics, Vol. 57, No. 3, September 2001
"This very challenging monograph demonstrates how Gröbner bases may be used to represent experimental design, probability models and statistical models … The book points clearly to the future potential use of algebraic tools."

Short Book Reviews, Vol. 21, No. 2, August, 2001

Notă biografică

Eva Riccomagno, Giovanni Pistone, Henry P. Wynn

Descriere

Written by pioneers in an exciting new field, this book introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grobner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new applications to coherent systems in reliability and two-level factorial designs. This work paves the way for discussing the application of computer algebra to discrete probability and statistical modelling via the concept of an algebraic statistical model. As the first book on the subject, Algebraic Statistics promises to become a landmark work.