Lectures on Algebraic Statistics / Edition 1

Lectures on Algebraic Statistics / Edition 1

by Mathias Drton, Bernd Sturmfels, Seth Sullivant
     
 

ISBN-10: 3764389044

ISBN-13: 9783764389048

Pub. Date: 12/10/2008

Publisher: Birkhauser Basel

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

Overview

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.

Product Details

ISBN-13:
9783764389048
Publisher:
Birkhauser Basel
Publication date:
12/10/2008
Series:
Oberwolfach Seminars Series, #39
Edition description:
2009
Pages:
172
Product dimensions:
6.60(w) x 9.30(h) x 0.60(d)

Related Subjects

Table of Contents

Markov Bases.- Likelihood Inference.- Conditional Independence.- Hidden Variables.- Bayesian Integrals.- Exercises.- Open Problems.

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