Uncertain Renewal Processes
This book explores various renewal processes in the context of probability theory, uncertainty theory and chance theory. It also covers the applications of these renewal processes in maintenance models and insurance risk models. The methods used to derive
- PDF / 1,470,883 Bytes
- 165 Pages / 453.544 x 683.151 pts Page_size
- 6 Downloads / 178 Views
Kai Yao
Uncertain Renewal Processes
Springer Uncertainty Research Series Editor Baoding Liu, Beijing, China
Springer Uncertainty Research is a book series that seeks to publish high quality monographs, texts, and edited volumes on a wide range of topics in both fundamental and applied research of uncertainty. New publications are always solicited. This book series provides rapid publication with a world-wide distribution. Editor-in-Chief Baoding Liu Department of Mathematical Sciences Tsinghua University Beijing 100084, China http://orsc.edu.cn/liu Email: [email protected] Executive Editor-in-Chief Kai Yao School of Economics and Management University of Chinese Academy of Sciences Beijing 100190, China http://orsc.edu.cn/yao Email: [email protected]
More information about this series at http://www.springer.com/series/13425
Kai Yao
Uncertain Renewal Processes
123
Kai Yao School of Economics and Management University of Chinese Academy of Sciences Beijing, China
ISSN 2199-3807 ISSN 2199-3815 (electronic) Springer Uncertainty Research ISBN 978-981-13-9344-0 ISBN 978-981-13-9345-7 (eBook) https://doi.org/10.1007/978-981-13-9345-7 © Springer Nature Singapore Pte Ltd. 2019 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, expressed 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. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
To My Wife Meixia Wang and My Daughter Anwen Yao
Preface
The renewal process is used to count the renewals that occur in an indeterminate system. As the generalizations of renewal process, the renewal reward process models the cumulative rewards associated with the renewals up to some given time, and the alternating renewal process models the total on-time of an indeterminate system, which is on and off alternately. In indeterminate sys
Data Loading...
