| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1152497 | Statistics & Probability Letters | 2011 | 9 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Arijit Chakrabarty, Mark M. Meerschaert,