Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156472 | Stochastic Processes and their Applications | 2014 | 26 Pages |
Abstract
We generalize the BM-local time fractional symmetric αα-stable motion introduced in Cohen and Samorodnitsky (2006) by replacing the local time with a general continuous additive functional (CAF). We show that the resulting process is again symmetric αα-stable with stationary increments. Depending on the CAF, the process is either self-similar or lies in the domain of attraction of the BM-local time fractional symmetric αα-stable motion. We also show that the process arises as a weak limit of a discrete “random rewards scheme” similar to the one described by Cohen and Samorodnitsky.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sami Umut Can,