Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Algebraic Statistics
 
Seth Sullivant North Carolina State University, Raleigh, NC
Algebraic Statistics
Softcover ISBN:  978-1-4704-7510-9
Product Code:  GSM/194.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-4980-3
Product Code:  GSM/194.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7510-9
eBook: ISBN:  978-1-4704-4980-3
Product Code:  GSM/194.S.B
List Price: $174.00 $131.50
MAA Member Price: $156.60 $118.35
AMS Member Price: $139.20 $105.20
Algebraic Statistics
Click above image for expanded view
Algebraic Statistics
Seth Sullivant North Carolina State University, Raleigh, NC
Softcover ISBN:  978-1-4704-7510-9
Product Code:  GSM/194.S
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-4980-3
Product Code:  GSM/194.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7510-9
eBook ISBN:  978-1-4704-4980-3
Product Code:  GSM/194.S.B
List Price: $174.00 $131.50
MAA Member Price: $156.60 $118.35
AMS Member Price: $139.20 $105.20
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1942018; 490 pp
    MSC: Primary 62; 14; 13; 52; 60;

    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.

    Readership

    Graduate students and researchers interested in algebraic statistics and its applications.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Probability Primer
    • Algebra Primer
    • Conditional Independence
    • Statistics Primer
    • Exponential Families
    • Likelihood Inference
    • The Cone of Sufficient Statistics
    • Fisher’s Exact Test
    • Bounds on Cell Entries
    • Exponential Random Graph Models
    • Design of Experiments
    • Graphical Models
    • Hidden Variables
    • Phylogenetic Models
    • Identifiability
    • Model Selection and Bayesian Integrals
    • MAP Estimation and Parametric Inference
    • Finite Metric Spaces
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1942018; 490 pp
MSC: Primary 62; 14; 13; 52; 60;

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.

Readership

Graduate students and researchers interested in algebraic statistics and its applications.

  • Chapters
  • Introduction
  • Probability Primer
  • Algebra Primer
  • Conditional Independence
  • Statistics Primer
  • Exponential Families
  • Likelihood Inference
  • The Cone of Sufficient Statistics
  • Fisher’s Exact Test
  • Bounds on Cell Entries
  • Exponential Random Graph Models
  • Design of Experiments
  • Graphical Models
  • Hidden Variables
  • Phylogenetic Models
  • Identifiability
  • Model Selection and Bayesian Integrals
  • MAP Estimation and Parametric Inference
  • Finite Metric Spaces
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.