ENGLISH

Lectures on Algebraic Statistics (Oberwolfach Seminars)

By Bernd Sturmfels , Mathias Drton , Seth Sullivant

Book information

Year
2008
ISBN
3764389044, 9783764389048
LCC
QA276 .D69 2009
Open Library ID
OL23953652M
Language
english
Format
PDF
Filesize
2 MB (1959310 bytes)
Edition
1
Pages
177\177
Topic
Mathematics Algebra
Scanned
no
Time added
2011-06-04 13:46:07

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.

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