Median, concentration and fluctuations for Lévy processes
We estimate a median of f(Xt) where f is a Lipschitz function, X is a Lévy process and t is an arbitrary time. This leads to concentration inequalities for f(Xt). In turn, corresponding fluctuation estimates are obtained under assumptions typically satisfied if the process has a regular behavior in small time and a, possibly different, regular behavior in large time.
Year of publication: |
2008
|
---|---|
Authors: | Houdré, Christian ; Marchal, Philippe |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 118.2008, 5, p. 852-863
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Publisher: |
Elsevier |
Subject: | Lévy processes Median Fluctuations Concentration |
Saved in:
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