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Multivariate, Multilinear and Mixed Linear Models

  • Book
  • © 2021

Overview

  • Presents the latest results on inference in multivariate, multilinear and mixed linear models
  • Features review contributions by experts in the field
  • Provides an extensive bibliography of related publications

Part of the book series: Contributions to Statistics (CONTRIB.STAT.)

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Table of contents (12 chapters)

Keywords

About this book

This book presents the latest findings on statistical inference in multivariate, multilinear and mixed linear models, providing a holistic presentation of the subject. It contains pioneering and carefully selected review contributions by experts in the field and guides the reader through topics related to estimation and testing of multivariate and mixed linear model parameters. Starting with the theory of multivariate distributions, covering identification and testing of covariance structures and means under various multivariate models, it goes on to discuss estimation in mixed linear models and their transformations.

The results presented originate from the work of the research group Multivariate and Mixed Linear Models and their meetings held at the Mathematical Research and Conference Center in Będlewo, Poland, over the last 10 years. Featuring an extensive bibliography of related publications, the book is intended for PhD students and researchers in modern statisticalscience who are interested in multivariate and mixed linear models. 




Editors and Affiliations

  • Institute of Mathematics, Poznań University of Technology, Poznań, Poland

    Katarzyna Filipiak

  • Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Poznań, Poland

    Augustyn Markiewicz

  • Department of Energy and Technology, Swedish University of Agricultural Sciences, Uppsala, Sweden

    Dietrich von Rosen

About the editors

Katarzyna Filipiak is an Associate Professor of Mathematics at the Poznań University of Technology, Poland. She has authored 36 peer-reviewed scientific articles, recently focusing on multivariate statistical models. She acts as a reviewer for many statistical journals, is involved in organizing conferences and currently supervises two PhD students. She is an Associate Editor of Communications in Statistics and the Journal of Multivariate Analysis.

Augustyn Markiewicz is a Professor of Mathematics at the Poznań University of Life Sciences, Poland. He has authored over 60 peer-reviewed articles and has supervised four PhD students. He is an Editorial Board Member of two international journals and has acted as a Guest Editor of several special issues in journals with a high impact factor. He is also involved in organizing international conferences.

Dietrich von Rosen is a Professor of Statistics at the Swedish University of Agricultural Sciences in Uppsala. He has supervised more than 20 PhD students and written more than 130 peer-reviewed articles, both theoretical and applied works. He has written two advanced books in multivariate analysis, the most recent one appearing in 2018. He is the Editor-in-Chief of the Journal of Multivariate Analysis. 


Bibliographic Information

  • Book Title: Multivariate, Multilinear and Mixed Linear Models

  • Editors: Katarzyna Filipiak, Augustyn Markiewicz, Dietrich von Rosen

  • Series Title: Contributions to Statistics

  • DOI: https://doi.org/10.1007/978-3-030-75494-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-75493-8Published: 02 October 2021

  • Softcover ISBN: 978-3-030-75496-9Published: 03 October 2022

  • eBook ISBN: 978-3-030-75494-5Published: 01 October 2021

  • Series ISSN: 1431-1968

  • Series E-ISSN: 2628-8966

  • Edition Number: 1

  • Number of Pages: XII, 350

  • Number of Illustrations: 21 b/w illustrations, 30 illustrations in colour

  • Topics: Statistical Theory and Methods, Linear Algebra, Applied Statistics

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