Lévy Processes
Theory and Applications
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Beschreibung
In the past, representatives of the L,vy class were considered most
useful for applications to either Brownian motion or the Poisson
process. Nowadays, the need for modeling jumps, bursts, extremes and
other irregular behavior of phenomena in nature and society has led to
a renaissance of the theory of general L,vy processes. Researchers and
practitioners in physics, meteorology, statistics, insurance and
finance have rediscovered the simplicity of L,vy processes and their
enormous flexibility in modeling tails, dependence and path behavior.
This volume describes the state-of-the-art of this rapidly
evolving subject with special emphasis on the non-Brownian world.
Autor*in
Ole E Barndorff-Nielsen
Themen in »Lévy Processes«
Excel Gaussian process Likelihood Lévy process Martingale Stochastic processes communication geometry local time modeling operator point process random walk statistics stochastic process
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"This volume presents a useful summary of some of the recent scientific developments concerning Lévy processes. Both introductory and more advanced articles are included. The interested researcher will get a good overview of 'where the action is' whereas students will find numerous interesting research topics to work on . . . I am convinced that the text will contribute further to making stochastic models based on general Lévy processes even more popular. I, therefore, take pleasure in recommending this volume to all interested readers." —ISI Short Book Reviews
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