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arxiv: 1105.1765 · v2 · pith:G4N7YVNFnew · submitted 2011-05-09 · 🧮 math.PR

Decomposability for stable processes

classification 🧮 math.PR
keywords processescomponentsindependentstationaryalphaalpha-stablecharacterizationcharacterize
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We characterize all possible independent symmetric alpha-stable (SaS) components of an SaS process, 0<alpha<2. In particular, we focus on stationary SaS processes and their independent stationary SaS components. We also develop a parallel characterization theory for max-stable processes.

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