Algebraic Statistics: Computational Commutative Algebra in Statistics (Monographs on Statistics and Applied Probability) by Giovanni Pistone

Product 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 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.
Product Details
Amazon Sales Rank: #1173867 in Books
Published on: 2000-12-21
Number of items: 1
Binding: Hardcover
184 pages
Editorial Reviews

Review
...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

Book Info
An introduction to the use of polynomial algebra in experimental design, discrete probability and statistics. Presents many opportunities for spin-off research and paves the way for that application of computer algebra to probability and statistics. DLC: Mathematical statistics.