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An Introduction to Algebraic Statistics with Tensors

BuchKartoniert, Paperback
235 Seiten
Englisch
Springererschienen am17.09.20191st ed. 2019
This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master´s and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR85,59
E-BookPDF1 - PDF WatermarkE-Book
EUR85,59

Produkt

KlappentextThis book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master´s and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics.
Details
ISBN/GTIN978-3-030-24623-5
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2019
Erscheinungsdatum17.09.2019
Auflage1st ed. 2019
ReiheUNITEXT
Seiten235 Seiten
SpracheEnglisch
Gewicht441 g
IllustrationenXIX, 235 p. 65 illus.
Artikel-Nr.46761324

Inhalt/Kritik

Inhaltsverzeichnis
âPART I: Algebraic Statistics.- 1 Systems of Random Variables and Distributions.- 2 Basic Statistics.- 3 Statistical models.- 4 Complex projective algebraic statistics.- 5 Conditional independence.- PART II: Multilinear Algebra.- 6 Tensors.- 7 Symmetric tensors.- 8 Marginalisation and attenings.- PART III: Commutative Algebra and Algebraic Geometry.- 9 Elements of Projective Algebraic Geometry.- 10 Projective maps and the Chow's Theorem.- 11 Dimension Theory.- 12 Secant varieties.- 13 Groebner bases.mehr
Kritik
"The book under review contributes to the literature in algebraic statistics by highlighting the role of tensors, which are a vital tool in algebraic statistical theory and methods." (Carlos Amendola, Mathematical Reviews, December, 2020)mehr

Autor

Prof. Luca Chiantini is Full Professor of Geometry at the University of Siena (Italy). His research interests focus mainly on Algebraic Geometry and Multilinear Algebra, and include the theory of vector bundles on varieties and the study of secant spaces, which are the geometric counterpart of the theory of tensor ranks. In particular, he recently studied the relations between Multilinear Algebra and the theory of finite sets in projective spaces.
Prof. Cristiano Bocci is Assistant Professor of Geometry at the University of Siena (Italy). His research concerns Algebraic Geometry, Commutative Algebra, and their applications. In particular, his current interests are focused on symbolic powers of ideals, Hadamard product of varieties, and the study of secant spaces. He also works in two interdisciplinary teams in the fields of Electronic Measurements and Sound Synthesis.