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Lectures on Algebraic Statistics
Taschenbuch von Mathias Drton (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Exercises and Open Problems complement the material and stimulate further research

Introduces to the rather new field of Algebraic Statistics

Includes supplementary material: [...]

Inhaltsverzeichnis
Markov Bases.- Likelihood Inference.- Conditional Independence.- Hidden Variables.- Bayesian Integrals.- Exercises.- Open Problems.
Details
Erscheinungsjahr: 2008
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Oberwolfach Seminars
Inhalt: viii
172 S.
ISBN-13: 9783764389048
ISBN-10: 3764389044
Sprache: Englisch
Herstellernummer: 12437795
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Drton, Mathias
Sullivant, Seth
Sturmfels, Bernd
Hersteller: Birkhäuser Basel
Springer Basel AG
Oberwolfach Seminars
Maße: 242 x 170 x 11 mm
Von/Mit: Mathias Drton (u. a.)
Erscheinungsdatum: 10.12.2008
Gewicht: 0,326 kg
Artikel-ID: 101788406
Zusammenfassung

Exercises and Open Problems complement the material and stimulate further research

Introduces to the rather new field of Algebraic Statistics

Includes supplementary material: [...]

Inhaltsverzeichnis
Markov Bases.- Likelihood Inference.- Conditional Independence.- Hidden Variables.- Bayesian Integrals.- Exercises.- Open Problems.
Details
Erscheinungsjahr: 2008
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Oberwolfach Seminars
Inhalt: viii
172 S.
ISBN-13: 9783764389048
ISBN-10: 3764389044
Sprache: Englisch
Herstellernummer: 12437795
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Drton, Mathias
Sullivant, Seth
Sturmfels, Bernd
Hersteller: Birkhäuser Basel
Springer Basel AG
Oberwolfach Seminars
Maße: 242 x 170 x 11 mm
Von/Mit: Mathias Drton (u. a.)
Erscheinungsdatum: 10.12.2008
Gewicht: 0,326 kg
Artikel-ID: 101788406
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