Point Processes for Reliability Analysis Shocks and Repairable Syste
Focusing on the theory and applications of point processes, Point Processes for Reliability Analysis naturally combines classical results on the basic and advanced properties of point processes with recent theoretical findings of the authors. It also pres
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Ji Hwan Cha Maxim Finkelstein
Point Processes for Reliability Analysis Shocks and Repairable Systems
Springer Series in Reliability Engineering Series editor Hoang Pham, Piscataway, USA
More information about this series at http://www.springer.com/series/6917
Ji Hwan Cha Maxim Finkelstein •
Point Processes for Reliability Analysis Shocks and Repairable Systems
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Ji Hwan Cha Department of Statistics Ewha Womans University Seoul Korea (Republic of)
Maxim Finkelstein Department of Mathematical Statistics University of the Free State Bloemfontein South Africa and ITMO University Saint Petersburg Russia
ISSN 1614-7839 ISSN 2196-999X (electronic) Springer Series in Reliability Engineering ISBN 978-3-319-73539-9 ISBN 978-3-319-73540-5 (eBook) https://doi.org/10.1007/978-3-319-73540-5 Library of Congress Control Number: 2017962972 © Springer International Publishing AG 2018 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. 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 publisher, 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 publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To My Family and Friends —Ji Hwan Cha To My Family —Maxim Finkelstein
Preface
This book is about point processes and their applications in reliability and risk analysis. In the first part, we provide a general introduction to the ‘basic’ point processes and discuss their properties, and then consider the corresponding applications later. However, in the applications part, we do not aim at the broad coverage of the field but rather focus on the models and applications that have been investigated by the authors mostly in the last 10 years and which we consider important from theoretical and practical points of view. Those are various shock models when a point process describes an impact of an environment on an operating sy
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