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The Cramér-Lundberg Model and Its Variants

A Queueing Perspective

Michel Mandjes, Onno Boxma
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Description

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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Auteur(s) :
Editeur:

Contenu

Nombre de pages :
246
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9783031391040
Date de parution :
28-11-23
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
156 mm x 234 mm
Poids :
539 g

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