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Decomposability for stable processes
Authors:Yizao Wang  Stilian A. Stoev
Affiliation:
  • a Department of Statistics, The University of Michigan, 439 W. Hall, 1085 S. University, Ann Arbor, MI 48109-1107, USA
  • b Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata 700108, India
  • Abstract:We characterize all possible independent symmetric α-stable (SαS) components of an SαS process, 0<α<2. In particular, we focus on stationary SαS processes and their independent stationary SαS components. We also develop a parallel characterization theory for max-stable processes.
    Keywords:Primary, 60G52   Secondary, 60G70
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