Matrices, Statistics and Big Data Selected Contributions from IWMS 2

This volume features selected, refereed papers on various aspects of statistics, matrix theory and its applications to statistics, as well as related numerical linear algebra topics and numerical solution methods, which are relevant for problems arising i

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S. Ejaz Ahmed Francisco Carvalho Simo Puntanen Editors

Matrices, Statistics and Big Data

Selected Contributions from IWMS 2016

Contributions to Statistics

The series Contributions to Statistics contains publications in theoretical and applied statistics, including for example applications in medical statistics, biometrics, econometrics and computational statistics. These publications are primarily monographs and multiple author works containing new research results, but conference and congress reports are also considered. Apart from the contribution to scientific progress presented, it is a notable characteristic of the series that publishing time is very short, permitting authors and editors to present their results without delay.

More information about this series at http://www.springer.com/series/2912

S. Ejaz Ahmed • Francisco Carvalho • Simo Puntanen Editors

Matrices, Statistics and Big Data Selected Contributions from IWMS 2016

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Editors S. Ejaz Ahmed Department of Mathematics and Statistics Brock University St. Catharines, ON, Canada

Francisco Carvalho Departmental Unit of Mathematics and Physics Polytechnic Institute of Tomar Tomar, Portugal

Simo Puntanen Faculty of Natural Sciences University of Tampere Tampere, Finland

ISSN 1431-1968 Contributions to Statistics ISBN 978-3-030-17518-4 ISBN 978-3-030-17519-1 (eBook) https://doi.org/10.1007/978-3-030-17519-1 Mathematics Subject Classification (2010): 60-xx, 15-xx, 62Hxx, 62Jxx, 62Kxx, 62-07, 15Axx, 15Bxx, 60Jxx © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

To Ingram Olkin

Preface

The 25th International Workshop on Matrices and Statistics (IWMS-2016) was held in the city of F