ENGLISH

Uncertain Renewal Processes

By Kai Yao

Book information

Publisher
Springer Singapore
Year
2019
ISBN
978-981-13-9344-0, 978-981-13-9345-7
Language
english
Format
PDF
Filesize
1 MB (1470883 bytes)
Series
Springer Uncertainty Research
Edition
1st ed. 2019
Pages
XIII, 156\165
Time added
2020-02-08 04:43:04
Mathematics; Applications of Mathematics; Mathemat

Description

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. Front Matter ....Pages i-xiii Probability Theory (Kai Yao)....Pages 1-25 Stochastic Renewal Processes (Kai Yao)....Pages 27-40 Uncertainty Theory (Kai Yao)....Pages 41-59 Uncertain Renewal Processes (Kai Yao)....Pages 61-98 Chance Theory (Kai Yao)....Pages 99-118 Uncertain Random Renewal Processes (Kai Yao)....Pages 119-149 Back Matter ....Pages 151-156

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