U-Statistics, Mm-Estimators and Resampling
This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary intr
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Arup Bose · Snigdhansu Chatterjee
U-Statistics, Mm-Estimators and Resampling
Texts and Readings in Mathematics Volume 75
Advisory Editor C. S. Seshadri, Chennai Mathematical Institute, Chennai Managing Editor Rajendra Bhatia, Indian Statistical Institute, New Delhi Editors Manindra Agrawal, Indian Institute of Technology, Kanpur V. Balaji, Chennai Mathematical Institute, Chennai R. B. Bapat, Indian Statistical Institute, New Delhi V. S. Borkar, Indian Institute of Technology, Mumbai T. R. Ramadas, Chennai Mathematical Institute, Chennai V. Srinivas, Tata Institute of Fundamental Research, Mumbai Technical Editor P. Vanchinathan, Vellore Institute of Technology, Chennai
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Arup Bose Snigdhansu Chatterjee •
U-Statistics, Mm-Estimators and Resampling
123
Arup Bose Statistics and Mathematics Unit Indian Statistical Institute Kolkata, West Bengal, India
Snigdhansu Chatterjee School of Statistics University of Minnesota Minneapolis, MN, USA
ISSN 2366-8717 ISSN 2366-8725 (electronic) Texts and Readings in Mathematics ISBN 978-981-13-2247-1 ISBN 978-981-13-2248-8 (eBook) https://doi.org/10.1007/978-981-13-2248-8 Library of Congress Control Number: 2018952876 This work is a co-publication with Hindustan Book Agency, New Delhi, licensed for sale in all countries in electronic form, in print form only outside of India. Sold and distributed in print within India by Hindustan Book Agency, P-19 Green Park Extension, New Delhi 110016, India. ISBN: 978-93-86279-71-2 © Hindustan Book Agency 2018. © Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018 This work is subject to copyright. All rights are reserved by the Publishers, 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 publishers, 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 publishers nor the a
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