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Bilinear regression analysisan intro...

Rosen, Dietrich von.

Bilinear regression analysisan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Bilinear regression analysisby Dietrich von Rosen.
Reminder of title:	an introduction /
Author:	Rosen, Dietrich von.
Published:	Cham :Springer International Publishing :2018.
Description:	xiii, 468 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Regression analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-78784-8
ISBN:	9783319787848$q(electronic bk.)

Bilinear regression analysisan introduction /
Rosen, Dietrich von.

Bilinear regression analysisan introduction /[electronic resource] :by Dietrich von Rosen. - Cham :Springer International Publishing :2018. - xiii, 468 p. :ill., digital ;24 cm. - Lecture notes in statistics,2200930-0325 ;. - Lecture notes in statistics ;205..

Preface -- Introduction -- The Basic Ideas of Obtaining MLEs: A Known Dispersion -- The Basic Ideas of Obtaining MLEs: Unknown Dispersion -- Basic Properties of Estimators -- Density Approximations -- Residuals -- Testing Hypotheses -- Influential Observations -- Appendices -- Indices.

This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. Further, the book considers decompositions of tensor products into natural subspaces, and addresses maximum likelihood estimation, residual analysis, influential observation analysis and testing hypotheses, where properties of estimators such as moments, asymptotic distributions or approximations of distributions are also studied. Throughout the text, examples and several analyzed data sets illustrate the different approaches, and fresh insights into classical multivariate analysis are provided. This monograph is of interest to researchers and Ph.D. students in mathematical statistics, signal processing and other fields where statistical multivariate analysis is utilized. It can also be used as a text for second graduate-level courses on multivariate analysis.

ISBN: 9783319787848$q(electronic bk.)

Standard No.: 10.1007/978-3-319-78784-8doiSubjects--Topical Terms:

181872
Regression analysis.

LC Class. No.: QA278.2 / .R674 2018

Dewey Class. No.: 519.536

Bilinear regression analysisan introduction /
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245 1 0 $a Bilinear regression analysis $h [electronic resource] : $b an introduction / $c by Dietrich von Rosen.
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505 0 $a Preface -- Introduction -- The Basic Ideas of Obtaining MLEs: A Known Dispersion -- The Basic Ideas of Obtaining MLEs: Unknown Dispersion -- Basic Properties of Estimators -- Density Approximations -- Residuals -- Testing Hypotheses -- Influential Observations -- Appendices -- Indices.
520 $a This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. Further, the book considers decompositions of tensor products into natural subspaces, and addresses maximum likelihood estimation, residual analysis, influential observation analysis and testing hypotheses, where properties of estimators such as moments, asymptotic distributions or approximations of distributions are also studied. Throughout the text, examples and several analyzed data sets illustrate the different approaches, and fresh insights into classical multivariate analysis are provided. This monograph is of interest to researchers and Ph.D. students in mathematical statistics, signal processing and other fields where statistical multivariate analysis is utilized. It can also be used as a text for second graduate-level courses on multivariate analysis.
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