Overview
- Provides unified framework which systematically exploits the relation to queueing theory
- Emphasizes various variants of the classical Cramér–Lundberg setup with applications to insurance risk
- Includes carefully selected exercises to master the material
Part of the book series: Springer Actuarial (SPACT)
Part of the book sub series: Springer Actuarial Textbooks (SPACTE)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Providing a systematic and self-contained approach to evaluate the crucial quantities found in the Cramér–Lundberg model, the book makes use of connections with related queueing models when appropriate, and its emphasis on clean transform-based techniques sets it apart from other works. In addition to consolidating a wealth of existing results, the book also derives several new outcomes using the same methodology.
This material is complemented by a thoughtfully chosen collection of exercises. The book's primary target audience is master's and starting PhD students in applied mathematics, operations research, and actuarial science, although it also serves as a useful methodological resource for more advanced researchers. The material is self-contained, requiring only a basic grounding in probability theory and some knowledge of transform techniques.
Authors and Affiliations
About the authors
Onno Boxma is Professor of Stochastic Operations Research in the Department of Mathematics and Computer Science of Eindhoven University of Technology. His main research interests are in queueing theory and its applications to the performance analysis of computer-, communication-, production- and traffic systems, and in insurance risk.
Bibliographic Information
Book Title: The Cramér–Lundberg Model and Its Variants
Book Subtitle: A Queueing Perspective
Authors: Michel Mandjes, Onno Boxma
Series Title: Springer Actuarial
DOI: https://doi.org/10.1007/978-3-031-39105-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-39104-0Published: 28 November 2023
Softcover ISBN: 978-3-031-39107-1Due: 29 December 2023
eBook ISBN: 978-3-031-39105-7Published: 27 November 2023
Series ISSN: 2523-3262
Series E-ISSN: 2523-3270
Edition Number: 1
Number of Pages: XI, 246
Number of Illustrations: 31 b/w illustrations
Topics: Applications of Mathematics, Probability Theory and Stochastic Processes, Probability Theory and Stochastic Processes