Algebraic Statistics / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $125.00
Usually ships in 1-2 business days
(Save 26%)
Other sellers (Hardcover)
  • All (8) from $125.00   
  • New (6) from $132.07   
  • Used (2) from $125.00   


Written by three acknowledged experts in a new and rapidly expanding a rea, Algebraic Statistics explores the application of symbolic computa tion and Grobner Bases to experimental design, discrete probability, a nd statistics. This field is an outgrowth of algebraic geometry with l inks to a variety of other disciplines, including reliability and info rmation theory. With no other book available on the subject, this mono graph-style introduction promises to become a landmark work likely to be referenced by both the statistical community and its "relatives" in algebra and computer science.

Read More Show Less

Editorial Reviews

Considers the application of polynomial algebra to experimental design, discrete probability, and statistics. The book begins with an introduction to Gr<:o>bner bases and a description of their application to experimental design. The authors, who are European professors, then cover the binary case with new application to coherent systems in reliability and two level factorial designs. This paves the way for the application of computer algebra to discrete probability and statistical modeling via the concept of an algebraic statistical model. Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

Table of Contents

History and Motivation
Computer Algebra
Polynomials and Polynomial Ideals
Division Algorithm
All Ideals Are Finitely Generated
Varieties and Equations
Gröbner Bases
Properties of Gröbner Basis
Elimination Theory
Polynomial Functions and Quotients by Ideals
Hilbert Function
Further Topics
Designs and Design Ideals
Computing the Gröbner basis of a design
Operations with Designs
Span of a Design
Models and Identifiability; Quotients
The Fan of an Experimental Design
Subsets and Sequential Algorithms
Regression Analysis
Other Topics
The binary case: Boolean Representations
Reliability: Coherent Systems are Minimal Fan Designs
Two Level Factorial Design: Contrasts and Orthogonality
Random Variables on a Finite Support
Algebraic Representation of Exponentials
Generating Functions
Generating Functions and Exponential Models
Examples and Further Applications
Statistical Modelling
Likelihoods and Sufficient Statistics
A Ring of Random Variables
Score Function and Information

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)