Ruin probabilities:
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Bibliographic Details
Main Author: Asmussen, Søren 1946- (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific © 2010
Edition:2nd ed
Series:Advanced series on statistical science & applied probability v. 14
Subjects:
Online Access:FAW01
FAW02
FLA01
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Item Description:Includes bibliographical references and index
Introduction -- Martingales and simple ruin calculations -- Further general tools and results -- The compound Poisson model -- The probability of ruin within finite time -- Renewal arrivals -- Risk theory in a Markovian environment -- Level-dependent risk processes -- Matrix-analytic methods -- Ruin probabilities in the presence of heavy tails -- Ruin probabilities for Lévy processes -- Gerber-Shiu functions -- Further models with dependency -- Stochastic control -- Simulation methodology -- Miscellaneous topics
The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramer-Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber-Shiu functions and dependence
Physical Description:1 Online-Ressource (xvii, 602 pages)
ISBN:9789814282529
9789814282536
9814282529
9814282537

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