On strong bounds of rate of convergence for regenerative processes

Abstract

We give strong bounds for the rate of convergence of the regenerative process distribution to the stationary distribution in the total variation metric. These bounds are obtained by using coupling method. We propose this method for obtaining such bounds for the queueing regenerative processes.

arXiv comment14 pages, 2 figures. This information will be presented at the conference DCCN-2016. In the second version of this article, we have corrected the stupid annoying errors (errata)