BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
eBook
The Cramér-Lundberg Model and Its Variants
A Queueing Perspective
Springer International Publishing
ISBN 978-3-031-39105-7
Standardpreis
Bibliografische Daten
eBook. PDF
2023
XI, 246 p. 31 illus..
In englischer Sprache
Umfang: 246 S.
Verlag: Springer International Publishing
ISBN: 978-3-031-39105-7
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Mathematics and Statistics (R0) Mathematics and Statistics Springer Actuarial Springer Actuarial Textbooks
Produktbeschreibung
This book offers a comprehensive examination of the Cramér-Lundberg model, which is the most extensively researched model in ruin theory. It covers the fundamental dynamics of an insurance company's surplus level in great detail, presenting a thorough analysis of the ruin probability and related measures for both the standard model and its variants.
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.
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