Uncertain Renewal Processes

Beschreibung

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.
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.
Comprehensively studies renewal processes in uncertainty theory and chance theory Addresses the applications of renewal processes in maintenance models and insurance risk models Provides in-depth treatments of three types of renewal processes

Autor*in

Kai Yao

Themen in »Uncertain Renewal Processes«

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

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“The book is self-contained and is suitable for researchers and students in the field of applied mathematics, operations research, engineering and management sciences. There is certainly a future for the research in uncertainty!” (Edward Omey, zbMATH 1448.60004, 2020)

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