Levy Processes and Stochastic Calculus PDF ePub eBook

Books Info:

Levy Processes and Stochastic Calculus free pdf Levy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. Here, the author ties these two subjects together, beginning with an introduction to the general theory of Levy processes, then leading on to develop the stochastic calculus for Levy processes in a direct and accessible way. This fully revised edition now features a number of new topics. These include: regular variation and subexponential distributions- necessary and sufficient conditions for Levy processes to have finite moments- characterisation of Levy processes with finite variation- Kunita's estimates for moments of Levy type stochastic integrals- new proofs of Ito representation and martingale representation theorems for general Levy processes- multiple Wiener-Levy integrals and chaos decomposition- an introduction to Malliavin calculus- an introduction to stability theory for Levy-driven SDEs.

About David Applebaum

David Applebaum is a Professor in the Department of Probability and Statistics at the University of Sheffield.

Details Book

Author : David Applebaum
Publisher : Cambridge University Press
Data Published : 30 April 2009
ISBN : 0521738652
EAN : 9780521738651
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 492 pages
Age + : 18 years
Language : English
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