Lévy Processes and Lévy Copulas
Overview
This thesis discusses L vy processes and L vy copulas. In connection with L vy processes we treat some of the theory behind infinitely divisible distributions, acknowledging that the two classes are equivalent.Within the class of L vy processes we will mostly look at stable processes and compound Poisson processes. The theory of L vy processes dates back to the late 1920's, after de Finetti first introduced the class of infinitely divisible distributions. Since then L vy processes have become popular tools for modelling in finance, insurance and physics. L vy copulas were introduced by Peter Tankov in 2003 in order to model dependency between different components of a multivariate L vy process. In the last part of the book we present an application of L vy copulas in non-life insurance and ruin theory of a L vy copula. Through this example we will discuss aspects regarding estimation of the parameters and goodness of fit.
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Details
- ISBN-13: 9783639199536
- ISBN-10: 3639199537
- Publisher: VDM Verlag
- Publish Date: September 2009
- Dimensions: 9 x 6 x 0.3 inches
- Shipping Weight: 0.44 pounds
- Page Count: 128
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