عنوان

An introduction to algebraic statistics with tensors /

(Number (ISBN

3030246248

(Number (ISBN

3030246256

(Number (ISBN

9783030246242

(Number (ISBN

9783030246259

Erroneous ISBN

303024623X

Erroneous ISBN

9783030246235

Title Proper

An introduction to algebraic statistics with tensors /

General Material Designation

[Book]

First Statement of Responsibility

Cristiano Bocci, Luca Chiantini.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource (xix, 235 pages) :

Other Physical Details

illustrations

Series Title

La Matematica per il 3+2,

Series Title

UNITEXT,

Volume Designation

volume 118

ISSN of Series

2038-5757

ISSN of Series

2532-3318 ;

Text of Note

Includes bibliographical references and index.

Text of Note

Part 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 flattenings -- 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.

0

Text of Note

This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Masters and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics. The focus is on the background needed to explore the connections among discrete random variables. The main objects that encode these relations are multilinear matrices, i.e., tensors. The book aims to settle the basis of the correspondence between properties of tensors and their translation in Algebraic Geometry. It is divided into three parts, on Algebraic Statistics, Multilinear Algebra, and Algebraic Geometry. The primary purpose is to describe a bridge between the three theories, so that results and problems in one theory find a natural translation to the others. This task requires, from the statistical point of view, a rather unusual, but algebraically natural, presentation of random variables and their main classical features. The third part of the book can be considered as a short, almost self-contained, introduction to the basic concepts of algebraic varieties, which are part of the fundamental background for all who work in Algebraic Statistics.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030246242

Title

Introduction to algebraic statistics with tensors.

International Standard Book Number

9783030246235

Tensor algebra.

Tensor algebra.

MAT029000

PBT

PBT

Number

Edition

Class number

Bocci, Cristiano

Chiantini, Luca,1957-

Date of Transaction

20200823093213.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y