Algebraic Statistics

ISBN-10: 1470435179
ISBN-13: 9781470435172
Category: Geometry, Algebraic
Pages: 490
Language: English
Published: 2018-11-19
Publisher: American Mathematical Soc.
Author: Seth Sullivant

Description

Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.

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Other editions

Algebraic Statistics
- 2023-11-17
- 506 pages
- Ebook
- American Mathematical Society
Algebraic Statistics: Computational Commutative Algebra in Statistics
- 2000-12-21
- 184 pages
- Ebook
- CRC Press

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