| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Campinas, UNICAMP, Dept Stat, Inst Math Stat & Sci Computat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Stochastic Processes and their Applications; v. 128, n. 10, p. 3221-3252, OCT 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we consider the field of local times of a discrete-time Markov chain on a general state space, and obtain uniform (in time) upper bounds on the total variation distance between this field and the one of a sequence of n i.i.d random variables with law given by the invariant measure of that Markov chain. The proof of this result uses a refinement of the soft local time method of Popov and Teixeira (2015). (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 16/13646-4 - Coupling and comparison between local time fields of Markov chains and of sequences of independent and identically distributed random variables |
| Grantee: | Diego Fernando de Bernardini |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/02022-2 - Random interlacement models |
| Grantee: | Serguei Popov |
| Support Opportunities: | Regular Research Grants |