Abstract
Tempered fractional stable motion adds an exponential tempering to the power-law kernel in a linear fractional stable motion, or a shift to the power-law filter in a harmonizable fractional stable motion. Increments from a stationary time series that can exhibit semi-long-range dependence. This paper develops the basic theory of tempered fractional stable processes, including dependence structure, sample path behavior, local times, and local nondeterminism.
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Meerschaert, M.M., Sabzikar, F. Tempered Fractional Stable Motion. J Theor Probab 29, 681–706 (2016). https://doi.org/10.1007/s10959-014-0585-5
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DOI: https://doi.org/10.1007/s10959-014-0585-5