Intermittency of trawl processes
Danijel Grahovac,
Nikolai N. Leonenko and
Murad S. Taqqu
Statistics & Probability Letters, 2018, vol. 137, issue C, 235-242
Abstract:
We study the limiting behavior of continuous time trawl processes which are defined using an infinitely divisible random measure of a time dependent set. In this way one is able to define separately the marginal distribution and the dependence structure. One can have long-range dependence or short-range dependence by choosing the time set accordingly. We introduce the scaling function of the integrated process and show that its behavior displays intermittency, a phenomenon associated with an unusual behavior of moments.
Keywords: Trawl processes; Intermittency; Cumulants; Moments (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.01.030
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