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Lectures on Algebraic Statistics

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Lectures on Algebraic Statistics Cover

 

Synopses & Reviews

Publisher Comments:

How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models.

Table of Contents

Table of contents Preface.- 1. Markov bases.- 2. Likelihood inference.- 3. Conditional independence.- 4. Hidden variables.- 5. Bayesian integrals.- 6. Exercises.- 7. Open problems.

Product Details

ISBN:
3330000246956
Publisher:
Birkhäuser
Subject:
Geometry - Algebraic
Author:
Sullivant, Seth
Author:
Sturmfels, Bernd
Author:
Drton, Mathias
Subject:
Probability & Statistics - General
Subject:
Mathematics-Algebraic Geometry
Subject:
Mathematics | Probability and Statistics
Subject:
main_subject
Subject:
all_subjects
Publication Date:
2009
Binding:
ELECTRONIC
Language:
English
Pages:
171

Related Subjects

Business » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Probability and Statistics » General

Lectures on Algebraic Statistics
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Product details 171 pages Birkhäuser Basel - English 3330000246956 Reviews:
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