Uncertain Renewal Processes

  • Kai Yao

Part of the Springer Uncertainty Research book series (SUR)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Kai Yao
    Pages 1-25
  3. Kai Yao
    Pages 27-40
  4. Kai Yao
    Pages 41-59
  5. Kai Yao
    Pages 61-98
  6. Kai Yao
    Pages 99-118
  7. Kai Yao
    Pages 119-149
  8. Back Matter
    Pages 151-156

About this book


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 the limit of the renewal rate, the reward rate, and the availability rate are of particular interest, as they can easily be extended to the derivation of other models. Its comprehensive and systematic treatment of renewal processes, renewal reward processes and the alternating renewal process is one of the book’s major features, making it particularly valuable for readers who are interested in learning about renewal theory. Given its scope, the book will benefit researchers, engineers, and graduate students in the fields of mathematics, information science, operations research, industrial engineering, etc.


Renewal Process Uncertain Renewal Process Renewal Reward Process Uncertain Renewal Reward Process Alternating Renewal Process Uncertain Alternating Renewal Process Block Replacement Policy Age Replacement Policy Insurance Risk Process

Authors and affiliations

  • Kai Yao
    • 1
  1. 1.School of Economics and ManagementUniversity of Chinese Academy of SciencesBeijingChina

Bibliographic information