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Field name	Details
Dewey Class	519.5
Title	Lectures on Algebraic Statistics ([Ebook]) / by Mathias Drton, Bernd Sturmfels, Seth Sullivant.
Author	Drton, Mathias
Added Personal Name	Sturmfels, Bernd
Added Personal Name	Sullivant, Seth
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2009.
Physical Details	VIII, 172 pages : online resource.
Series	Oberwolfach Seminars ; 39
ISBN	9783764389055
Summary Note	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.:
Contents note	Preface -- 1. Markov bases -- 2. Likelihood inference -- 3. Conditional independence -- 4. Hidden variables -- 5. Bayesian integrals -- 6. Exercises -- 7. Open problems.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8905-5
Links to Related Works	Subject References: Algebraic Geometry . Distribution (Probability theory) . Geometry, Algebraic . Mathematical Statistics . Probability theory and stochastic processes . Statistical Theory and Methods . Statistics . Authors: author . Drton, Mathias . Sturmfels, Bernd . Sullivant, Seth . Corporate Authors: SpringerLink (Online service) . Series: Oberwolfach Seminars . Classification: 519.5 . 519.5 (DDC 23) .

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Lectures on Algebraic Statistics

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