Over the past 10-15 years, we have seen a revival of general Levy processes theory as well as a burst of new applications. In the past, Brownian motion or the Poisson process have been considered as appropriate models for most applications. Nowadays, the need for more realistic modelling of irregular behaviour of phen- ena in nature and society like jumps, bursts, and extremeshas led to a renaissance of the theory of general Levy processes. Theoretical and applied researchers in elds asdiverseas quantumtheory, statistical physics, meteorology, seismology, statistics, insurance, nance, and...
Over the past 10-15 years, we have seen a revival of general Levy processes theory as well as a burst of new applications. In the past, Brownian motio...
This volume presents recent developments in the area of Levy-type processes and more general stochastic processes that behave locally like a Levy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Levy-type process: a non-random function which is a counterpart of the characteristic exponent of a Levy process. The class of stochastic processes which can be associated with a symbol is characterized, various schemes constructing a stochastic process from a given symbol are discussed,...
This volume presents recent developments in the area of Levy-type processes and more general stochastic processes that behave locally like a Levy p...
The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Levy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication.
The three chapters of this volume are completely dedicated to the estimation of Levy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Rei treats the low frequency situation, and estimation methods are based on the...
The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Levy processes. These d...
