Functional Statistics and Applications Selected Papers from MICPS-20
This volume, which highlights recent advances in statistical methodology and applications, is divided into two main parts. The first part presents theoretical results on estimation techniques in functional statistics, while the second examines three key a
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Elias Ould Saïd Idir Ouassou Mustapha Rachdi Editors
Functional Statistics and Applications Selected Papers from MICPS-2013
Contributions to Statistics
More information about this series at http://www.springer.com/series/2912
Elias Ould SaRıd • Idir Ouassou • Mustapha Rachdi Editors
Functional Statistics and Applications Selected Papers from MICPS-2013
123
Editors Elias Ould SaRıd LMPA Université du Littoral Côte d’Opale Calais, France
Idir Ouassou National School of Applied Sciences Cadi Ayyad University Marrakesh, Morocco
Mustapha Rachdi Faculty of Science of Man and Society Grenoble-Alpes University Grenoble, France
ISSN 1431-1968 Contributions to Statistics ISBN 978-3-319-22475-6 DOI 10.1007/978-3-319-22476-3
ISBN 978-3-319-22476-3
(eBook)
Library of Congress Control Number: 2015957212 Mathematics Subject Classification (2010): 60H30, 60H07, 62G08, 62G20, 92B15, 60H40 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 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. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
This volume, dedicated to recent advances in statistical methodology and applications, has two parts. The first is devoted to functional statistics, which involves taking a mathematical function (usually a real vector function of real scalar or vector variables, like time and/or space) as an entity to globally estimate and test in a suitable functional space. The approach is often nonparametric and involves the approximation of the studied function by the element of a functional kernel, then the calculation of some characteristics (temporal and/or spatial) of this approximant, considered as estimators of the homologous characteristics of the studied function and, finally, to study the asymptotic distribution and convergence properties of these estimators. This first part includes the following t
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