English

On coupling epoch for renewal times

Probability 2021-10-19 v1

Abstract

The ability to estimate the rate of convergence for the distributions of regenerative processes is in great demand. These processes are often encountered in queuing theory and in related problems. In some papers on regenerative processes, the coupling method and subsequent estimation of the convergence rate is used. In the presented small publication, we describe a general approach to using the coupling method for regenerative processes - both in the case of a polynomial and an exponential rate of convergence.

Keywords

Cite

@article{arxiv.2110.08609,
  title  = {On coupling epoch for renewal times},
  author = {Galina A. Zverkina},
  journal= {arXiv preprint arXiv:2110.08609},
  year   = {2021}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-24T06:56:37.823Z