Recent Advances in Reliability Theory Methodology, Practice, and Inf
Conceiving reliablesystems is a strategic issue for any industrial society. Hence, reliability has become a discipline at the beginning of the Second World War. In fact, reliability is a field of reseach common to mathematics, operational research, inform
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Series Editor N. Balakrishnan
McMaster University Department of Mathematics and Statistics 1280 Main Street West Hamilton, Ontario L8S 4Kl Canada
Editorial Advisory Board Max Engelhardt EG&G Idaho, Inc. Idaho Falls, ID 83415 Harry F. Martz
Group A-I MS F600 Los Alamos National Laboratory Los Alamos, NM 87545 Gary C. McDonald
NAO Research & Development Center 30500 Mound Road Box 9055 Warren, MI 48090-9055 Peter R. Nelson Department of Mathematical Sciences Clemson University Martin Hall Box 341907 Clemson, SC 29634-1907 Kazuyuki Suzuki
Communication & Systems Engineering Department University of Electro Communications 1-5-1 Chofugaoka Chofu-shi Tokyo 182 Japan
Recent Advances in Reliability Theory Methodology, Practice, and Inference
N. Limnios M. Nikulin Editors
Springer Science+Business Media, LLC
N. Limnios Division Mathematiques Appliquees Universite de Technologie de Compiegne Compiegne Cedex 60205 France
M. Nikulin Universite Victor Segalen-Bordeaux 2 Bordeaux Cedex 33076 France
Library of Congress Cataloging-in-Publication Data
Recent advances in reliability theory : methodology, practice, and inference I editors, N. Limnios, M. Nikulin. p. em. - (Statistics for industry and technology) Includes bibliographical references. ISBN 978-1-4612-7124-6 ISBN 978-1-4612-1384-0 (eBook) DOI 10.1007/978-1-4612-1384-0 1. Reliability (Engineering)-Mathematical models. 2. Stochastic processes. 1. Limnios, N. (Nikolaos) II. Nikulin, M.S. (Mikhail Stepanovich) III. Series. TA169 .R42 2000 620'.00452-dc21 00-039790
CIP
Prlnted on acid-free paper. © 2000 Springer Science+Business Media New York Originally published by Birkhlluser Boston in 2000 Softcover reprint of the hardcover 1st edition 2000
AlI rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. ISBN 978-1-4612-7124-6 SPIN 10727141 Typeset by the editors in LaTeX. Cover design by Vemon Press, Boston, MA.
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Contents
Preface
xv
Contributors
xvii
List of Tables
xxiii
List of Figures
xxv
I
General Approach
1
1 Reliability: Past, Present, Future Igor Ushakov 1.1 1.2 1.3 1.4 1.5 1.6
Introduction.................... Main Directions of Modern Reliability Theory . History of Ideas in Reliability . . . . . . . . . In the White Water of a Publications Stream Problems Expecting Solutions . Conclusion ..
2 Reliability Analysis as a Tool for Expressing and Communicating Uncer
