Mathias Drton

(Author)

Lectures on Algebraic Statistics (2009)Paperback - 2009, 10 December 2008

Lectures on Algebraic Statistics (2009)
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Part of Series
Oberwolfach Seminars
Print Length
172 pages
Language
English
Publisher
Birkhauser
Date Published
10 Dec 2008
ISBN-10
3764389044
ISBN-13
9783764389048

Description

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

Authors:
Mathias DrtonBernd SturmfelsSeth Sullivant
Book Edition:
2009
Book Format:
Paperback
Country of Origin:
US
Date Published:
10 December 2008
Dimensions:
24 x 17.04 x 1.27 cm
Genre:
Applied/Practical
ISBN-10:
3764389044
ISBN-13:
9783764389048
Language:
English
Location:
Basel
Pages:
172
Publisher:
Weight:
344.73 gm

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