Remarks on suprema of Lévy processes with light tailes
✍ Scribed by Michael Braverman
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 89 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
Let X (t); 06t61 be a LÃ evy process. A comparison between the right tail of sup 06t61 X (t) and the right tail of X (1) is considered. An example is given for which these tailes are incomparable. A class of LÃ evy process with "light" tails is described for which these tails have the same behavior.
📜 SIMILAR VOLUMES
We explore the statistical behavior of the order statistics of the ights of one-sided LÃ evy processes (OLPs). We begin with the study of the extreme ights of general OLPs, and then focus on the class of selfsimilar processes, investigating the following issues: (i) the inner hierarchy of the extrem
The trace of a one-dimensional MARHOV process with LBVY measure By HEIDRUN SEIDEL of Dresden (Eingegangen am 10. 10. 1979) Q 1. Introduction Let X = ( X t , X t , P,) be a right-continuous FELLER process on the interval [O, I] with infinitesimal generator $ of the form (1.1) gm:, = D,DJ(x) + b ( 4 f