A Functional Limit Theorem for stochastic integrals driven by a time-changed symmetric α-stable L\'evy process
Abstract
Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space endowed with the M1-topology of a sequence of stochastic integrals of a deterministic function driven by a time-changed symmetric α-stable L\'evy process. The time change is given by the inverse β-stable subordinator.
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