Ruin probabilities (2nd edition) by S?ren Asmussen eBook
By: Asmussen Soren
Publisher: World Scientific
Print ISBN: 9789814282529, 9814282529
eText ISBN: 9789814282536, 9814282537
Edition: 2nd
The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg?s inequality, the Cram?r-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.