Integral representations of periodic and cyclic fractional stable motions

@article{Pipiras2004IntegralRO,
  title={Integral representations of periodic and cyclic fractional stable motions},
  author={Vladas Pipiras and Murad S.Taqqu},
  journal={Electronic Journal of Probability},
  year={2004},
  volume={12},
  pages={181-206}
}
Stable non-Gaussian self-similar 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… Expand
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