Lectures on Algebraic Statistics

Mathias Drton Seth Sullivant Bernd Sturmfels

ISBN 10: 3764389044 ISBN 13: 9783764389048

Editorial: Springer, 2008

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pp. 184. N� de ref. del art�culo 26441047

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Sinopsis:

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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“The book provides a succinct overview of the state of the art, including a long section discussing interesting and open problems. ... The book certainly achieves the authors’ stated aims of encouraging ‘dialogue between algebra and statistics, to benefit both disciplines.’ ... the book particularly effective as a tool for a reading group on algebraic statistics; it is an excellent resource, cuts straight to the subject’s open questions, and should be an interesting read for any researcher of theoretical statistics.” (Robin J. Evans, SIAM Review, Vol. 53 (1), 2011)

“The present monograph grew out of a series of the authors’ lectures and its aim is to provide an introduction to some of the fundamental notions in algebraic statistics. ... an excellent source for running seminars on the subject. It could also be used as a textbook in advanced undergraduate or graduate courses ... . presents some open problems giving a few snapshots of current research in the area and may be a good source for problems for young mathematicians interested in the subject.” (Luis David Garcia-Puente, Mathematical Reviews, Issue 2012 d)

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T�tulo: Lectures on Algebraic Statistics
Editorial: Springer
A�o de publicaci�n: 2008
Encuadernaci�n: Encuadernaci�n de tapa blanda
Condici�n: New

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Lectures on Algebraic Statistics

Drton, Mathias

Publicado por Springer Basel AG, 2008

ISBN 10: 3764389044 ISBN 13: 9783764389048

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Lectures on Algebraic Statistics

Mathias Drton|Bernd Sturmfels|Seth Sullivant

Publicado por Birkh�user Basel, 2008

ISBN 10: 3764389044 ISBN 13: 9783764389048

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Exercises and Open Problems complement the material and stimulate further researchIntroduces to the rather new field of Algebraic StatisticsExercises and Open Problems complement the material and stimulate further researchIntrodu. N� de ref. del art�culo: 5279987

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Lectures on Algebraic Statistics

Mathias Drton

Publicado por Birkh�user Basel, 2008

ISBN 10: 3764389044 ISBN 13: 9783764389048

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Taschenbuch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de ref. del art�culo: 9783764389048

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Lectures on Algebraic Statistics

Mathias Drton

Publicado por Birkh�user Basel, Springer Basel Dez 2008, 2008

ISBN 10: 3764389044 ISBN 13: 9783764389048

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Taschenbuch. Condici�n: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 184 pp. Englisch. N� de ref. del art�culo: 9783764389048

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Lectures on Algebraic Statistics

Mathias Drton

Publicado por Birkh�user Basel Dez 2008, 2008

ISBN 10: 3764389044 ISBN 13: 9783764389048

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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania

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Taschenbuch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 184 pp. Englisch. N� de ref. del art�culo: 9783764389048

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