Stochastic Modeling for Reliability Shocks, Burn-in and Heterogeneou

Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical f

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Maxim Finkelstein Ji Hwan Cha

Stochastic Modeling for Reliability Shocks, Burn-in and Heterogeneous Populations

Springer Series in Reliability Engineering

Series Editor Hoang Pham

For further volumes: http://www.springer.com/series/6917

Maxim Finkelstein Ji Hwan Cha •

Stochastic Modeling for Reliability Shocks, Burn-in and Heterogeneous Populations

123

Maxim Finkelstein Department of Mathematical Statistics University of the Free State Bloemfontein South Africa

Ji Hwan Cha Department of Statistics Ewha Womans University Seoul Republic of Korea

and Max Planck Institute for Demographic Research Rostock Germany

ISSN 1614-7839 ISBN 978-1-4471-5027-5 DOI 10.1007/978-1-4471-5028-2

ISBN 978-1-4471-5028-2

(eBook)

Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2013936794 Ó Springer-Verlag London 2013 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 is part of Springer Science+Business Media (www.springer.com)

To Olga and Veronica —Maxim Finkelstein To my loving mother Sul Ja Choi —Ji Hwan Cha

Preface

This book is about reliability and reliability related stochastics. It focuses on shocks modeling, burn-in and heterogeneous populations. At the first sight, it looks that these three areas of research in stochastic modeling are not so close. However, it turns out that they can be nat