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Risk Theory

Risk Theory

Schmidli, Hanspeter

Taschenbuch
2018 Springer International Publishing
Auflage: 1. Auflage
XII, 242 Seiten; XII, 242 p. 5 illus.; 23.5 cm x 15.5 cm
Sprache: English
ISBN: 978-3-319-72004-3

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Hauptbeschreibung

This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II.



Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.




Klappentext

This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II.



Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.




1 Risk Models.- 2 Utility Theory.- 3 Credibility Theory.- 4 Claims Reserving.- 5 The Cramér-Lundberg Model.- 6 The Renewal Risk Model.- 7 The Ammeter Risk Model.- 8 Change of Measure Techniques.- 9 The Markov Modulated Risk Model.- A Stochastic Processes.- B Martingales.- C Renewal Processes.- D Brownian Motion.- E Random Walks and the Wiener-Hopf Factorisation.- F Subexponential Distributions.- G Concave and Convex Functions.- Table of Distribution Functions.- References. Indices.



Hanspeter Schmidli
is Professor of Stochastics and Actuarial Mathematics at the University of Cologne, Germany. He is one of the leading experts in the areas of optimization in insurance and ruin theory. He has published intensively in risk theory and related fields, having (co-)authored
Stochastic Control in Insurance
(Springer, 2008) and
Stochastic Processes for Insurance and Finance
(Wiley, 1999), which continue to be widely used resources.