Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7550158 | Stochastic Processes and their Applications | 2018 | 15 Pages |
Abstract
We investigate the connection between conditional local limit theorems and the local time of integer-valued stationary processes. We show that a conditional local limit theorem (at 0) implies the convergence of local times to Mittag-Leffler distributions, both in the weak topology of distributions and a.s. in the space of distributions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Manfred Denker, Xiaofei Zheng,