Functional and Operatorial Statistics
An increasing number of statistical problems and methods involve infinite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more effect
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Sophie Dabo-Niang
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Frédéric Ferraty
Functional and Operatorial Statistics
Dr. Sophie Dabo-Niang Laboratoire GREMARS-EQUIPPE Université Charles de Gaulle Lille 3 Maison de la Recherche Domaine du Pont de Bois BP 60149 F-59653 Villeneuve d’ascq cedex France [email protected]
ISBN: 978-3-7908-2061-4
Dr. Frédéric Ferraty Institut de Mathématiques de Toulouse Equipe LSP Université Paul Sabatier F-31062 Toulouse Cedex 9 France [email protected]
e-ISBN: 978-3-7908-2062-1
Library of Congress Control Number: 2008928585 © 2008 Physica-Verlag Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Physica-Verlag. Violations are liable for prosecution under the German Copyright Law. The use of registered names, trademarks, 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. Cover design: WMXDesign GmbH, Heidelberg Printed on acid-free paper 987654321 springer.com
Preface
An increasing number of problems and methods involve in nite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more eectively due to their increasingly sophisticated design. This evolution directly concerns the statisticians who have to propose new methodologies while taking into account such high-dimensional data (e.g. continuous processes, functional data, etc.). The numerous applications (microarrays, paleo-ecological data, radar waveforms, spectrometric curves, speech recognition, continuous time series, 3-D images, etc.) in various elds (biology, econometrics, environmetrics, the food industry, medical sciences, paper industry, speech recognition, etc.) make researching this statistical topic very worthwhile. New challenges emerge both from theoretical and practical point of views. This First International Workshop on Functional and Operatorial Statistics (IWFOS) aims to emphasize this fascinating eld of research and this volume gathers the contributions presented in this conference. It is worth noting that this volume mixes applied works (with original datasets and/or computational issues) as well as fundamental theoretical ones (with deep mathematical developments). Therefore, this book should cover a large audience, like academic researchers (theoreticians and/or practitioners), graduate/PhD students and should appeal to anyone working in statistics with industrial companies, research institutes or so
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