Integral representations of periodic and cyclic fractional stable motions
Abstract
Stable nonGaussian selfsimilar mixed moving averages can be decomposed into several components. Two of these are the periodic and cyclic fractional stable motions which are the subject of this study. We focus on the structure of their integral representations and show that the periodic fractional stable motions have, in fact, a canonical representation. We study several examples and discuss questions of uniqueness, namely how to determine whether two given integral representations of periodic or cyclic fractional stable motions give rise to the same process.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2004
 arXiv:
 arXiv:math/0405070
 Bibcode:
 2004math......5070P
 Keywords:

 Mathematics  Probability;
 60G18;
 60G52