Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153416 | Statistics & Probability Letters | 2008 | 11 Pages |
Abstract
We give a link between stochastic processes which are infinitely divisible with respect to time (IDT) and Lévy processes. We investigate the connection between the selfsimilarity and the strict stability for IDT processes. We also consider a subordination of a Lévy process by an increasing IDT process. We introduce a notion of multiparameter IDT stochastic processes, extending the one studied by Mansuy [2005. On processes which are infinitely divisible with respect to time. arXiv:math/0504408.]. The main example of this kind of processes is the Lévy sheet.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Khalifa Es-sebaiy, Youssef Ouknine,