عنوان

Applied matrix and tensor variate data analysis

(Number (ISBN

9784431553861(paperback : acid-free paper)

Number

41497

.Language of Text, Soundtrack etc

eng

Title Proper

Applied matrix and tensor variate data analysis

First Statement of Responsibility

/ Toshio Sakata, editor

Place of Publication, Distribution, etc.

Japon

Name of Publisher, Distributor, etc.

: Springer

Date of Publication, Distribution, etc.

, 2016.

Specific Material Designation and Extent of Item

xi, 136 pages

Other Physical Details

: illustrations (some color) 24 cm.

Series Title

(SpringerBriefs in statistics)

Series Title

(JSS research series in statistics)

Text of Note

Language: انگلیسی

Text of Note

Print

Text of Note

Includes bibliographical references.

Text of Note

This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view. Matrix and tensor approaches for data analysis are known to be extremely useful for recently emerging complex and high-dimensional data in various applied fields. The reviews contained herein cover recent applications of these methods in psychology (Chap. 1), audio signals (Chap. 2) , image analysis from tensor principal component analysis (Chap. 3), and image analysis from decomposition (Chap. 4), and genetic data (Chap. 5) . Readers will be able to understand the present status of these techniques as applicable to their own fields. In Chapter 5 especially, a theory of tensor normal distributions, which is a basic in statistical inference, is developed, and multi-way regression, classification, clustering, and principal component analysis are exemplified under tensor normal distributions. Chapter 6 treats one-sided tests under matrix variate and tensor variate normal distributions, whose theory under multivariate normal distributions has been a popular topic in statistics since the books of Barlow et al. (1972) and Robertson et al. (1988). Chapters 1, 5, and 6 distinguish this book from ordinary engineering books on these topics.

Title

SpringerBriefs in statistics

Title

JSS research series in statistics

Entry Element

Mathematical statistics

Entry Element

Calculus of tensors

Entry Element

MATHEMATICS / Applied.--bisacsh

Entry Element

MATHEMATICS / Probability & Statistics / General.--bisacsh

Entry Element

Calculus of tensors.--fast--(OCoLC)fst00844137

Entry Element

Mathematical statistics.--fast--(OCoLC)fst01012127

Number

Sakata, Toshio

old catalog