Algebraic Statistics
eBook - PDF

Algebraic Statistics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Algebraic Statistics

About this book

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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Yes, you can access Algebraic Statistics by Seth Sullivant in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title page
  3. Preface
  4. Chapter 1. Introduction
  5. Chapter 2. Probability Primer
  6. Chapter 3. Algebra Primer
  7. Chapter 4. Conditional Independence
  8. Chapter 5. Statistics Primer
  9. Chapter 6. Exponential Families
  10. Chapter 7. Likelihood Inference
  11. Chapter 8. The Cone of Sufficient Statistics
  12. Chapter 9. Fisher’s Exact Test
  13. Chapter 10. Bounds on Cell Entries
  14. Chapter 11. Exponential Random Graph Models
  15. Chapter 12. Design of Experiments
  16. Chapter 13. Graphical Models
  17. Chapter 14. Hidden Variables
  18. Chapter 15. Phylogenetic Models
  19. Chapter 16. Identifiability
  20. Chapter 17. Model Selection and Bayesian Integrals
  21. Chapter 18. MAP Estimation and Parametric Inference
  22. Chapter 19. Finite Metric Spaces
  23. Bibliography
  24. Index
  25. Back Cover