Algebraic Statistics
Computational Commutative Algebra in Statistics
Published on 21. December 2000
184 pages
978-1-4200-3576-6 (ISBN)
Description
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 Groebner 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.
It begins with an introduction to Groebner 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.
Reviews / Votes
"...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 Groebner 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
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Postgraduate and research statisticians and probabilists, especially those involved with experiment design and discrete statistics; Computer scientists and applied algebraists
Illustrations
20 s/w Tabellen
20 tables and 625 equations
File size
1,41 MB
ISBN-13
978-1-4200-3576-6 (9781420035766)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Giovanni Pistone | Eva Riccomagno | Henry P. Wynn
Algebraic Statistics
Computational Commutative Algebra in Statistics
Book
12/2000
1st Edition
Chapman & Hall/CRC
€261.60
Shipment within 15-20 days
Persons
Eva Riccomagno, Giovanni Pistone, Henry P. Wynn
Content
Introduction. Algebraic Models. The Direct Theory. Two-Level Designs. Application in Logic and Reliability. Probability and Statistics.
