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Risk Theory [electronic resource] / by Hanspeter Schmidli.

By: Contributor(s): Material type: TextTextSeries: Springer Actuarial Lecture NotesPublisher: Cham : Springer International Publishing : Imprint: Springer, 2017Description: XII, 242 p. 5 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783319720050
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 368.01 23
LOC classification:
  • HG8779-8793
Online resources:
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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