On the Distribution of Extrema for a Class of L\'evy Processes
Probability
2017-01-23 v1
Abstract
Suppose Xt is either a regular exponential type Levy process or a Levy process with a bounded variation jumps measure. The distribution of the extrema of Xt play a crucial role in many financial and actuarial problems. This article employs the well known and powerful Riemann-Hilbert technique to derive the characteristic functions of the extrema for such Levy processes. An approximation technique along with several examples is given.
Keywords
Cite
@article{arxiv.1701.05568,
title = {On the Distribution of Extrema for a Class of L\'evy Processes},
author = {Amir T. Payandeh Najafabadi and Dan Kucerovsky},
journal= {arXiv preprint arXiv:1701.05568},
year = {2017}
}
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12 Pages