The Art of Progressive Censoring Applications to Reliability and Qua

This monograph offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth in recent years. Progressive censoring, originally proposed in the 1950s, is an efficient method of handl

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N. Balakrishnan Erhard Cramer

The Art of Progressive Censoring Applications to Reliability and Quality

Statistics for Industry and Technology

Series Editor N. Balakrishnan McMaster University Hamilton, ON Canada

Editorial Advisory Board Max Engelhardt EG&G Idaho, Inc. Idaho Falls, ID, USA Harry F. Martz Los Alamos National Laboratory Los Alamos, NM, USA Gary C. McDonald NAO Research & Development Center Warren, MI, USA Kazuyuki Suzuki University of Electro Communications Chofu-shi, Tokyo Japan

For further volumes: http://www.springer.com/series/4982

N. Balakrishnan • Erhard Cramer

The Art of Progressive Censoring Applications to Reliability and Quality

N. Balakrishnan Department of Mathematics and Statistics McMaster University Hamilton, ON Canada

Erhard Cramer Institute of Statistics RWTH Aachen University Aachen, Germany

ISBN 978-0-8176-4806-0 ISBN 978-0-8176-4807-7 (eBook) DOI 10.1007/978-0-8176-4807-7 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014939954 Mathematics Subject Classification (2010): 62N86, 62N05, 62N01, 62P30 © Springer Science+Business Media New York 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer Basel is part of Springer Science+Business Media (www.birkhauser-science.com)

To Sarah and Julia Balakrishnan N.B. F¨ur meine Eltern E.C.

Preface

Practi