Bilinear Regression Analysis: An Introduction: 220 (Lecture Notes in Statistics) - Tapa blanda

Libro 69 de 72: Lecture Notes in Statistics

Von Rosen, Dietrich

 
9783319787824: Bilinear Regression Analysis: An Introduction: 220 (Lecture Notes in Statistics)
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ISBN 10: 3319787829 ISBN 13: 9783319787824
Editorial: Springer, 2018

Sinopsis

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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Acerca del autor

Dietrich von Rosen is a professor at the Department of Energy and Technology at the Swedish University of Agricultural Sciences. He graduated in mathematical statistics from Stockholm University, Sweden. His main research interest is multivariate analysis and its extensions, including repeated measurements analysis and high-dimensional analysis. He has published more than 100 papers, the majority of which are within the above areas, as well as a book on advanced multivariate statistics and matrices in collaboration with Tõnu Kollo, professor of mathematical statistics at the University of Tartu, Estonia.

De la contraportada

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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Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319787829
ISBN 13 
9783319787824
Encuadernación
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Número de edición
1
Número de páginas
484
Contacto del fabricante
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Darmstadt
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Alemania

Otras ediciones populares con el mismo título

9783319787831: Bilinear Regression Analysis: An Introduction

Edición Destacada

ISBN 10:  3319787837 ISBN 13:  9783319787831
Editorial: Springer, 2018
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