Tempered stable laws as random walk limits

Arijit Chakrabarty and Mark M. Meerschaert

Statistics & Probability Letters, 2011, vol. 81, issue 8, 989-997

Abstract: Stable laws can be tempered by modifying the Lévy measure to cool the probability of large jumps. Tempered stable laws retain their signature power law behavior at infinity, and infinite divisibility. This paper develops random walk 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 random walk models can provide a basic physical model for the underlying physical phenomena.

Keywords: Random; walk; Tempered; stable; law; Triangular; array; Infinitely; divisible; law (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (4)

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