Tempered stable laws as random walk limits
نویسندگان
چکیده
Stable laws can be tempered bymodifying the Lévymeasure to cool the probability of large jumps. Tempered stable laws retain their signature power law behavior at infinity, and infinite divisibility. This paper develops randomwalk models that converge to a tempered stable law under a triangular array scheme. Since tempered stable laws and processes are useful in statistical physics, these randomwalk models can provide a basic physical model for the underlying physical phenomena. © 2011 Elsevier B.V. All rights reserved.
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