English

About quasi-renewal processes and quasi-regenerative processes

Probability 2023-05-24 v2

Abstract

We discuss the concepts of quasi-renewal and quasi-regenerative processes. We also propose a method for obtaining the upper bounds for the convergence rate of the distribution of a regenerative and quasi-regenerative process to a stationary distribution, if this process is ergodic. The second version of the text has been corrected and significantly expanded.

Keywords

Cite

@article{arxiv.2112.15225,
  title  = {About quasi-renewal processes and quasi-regenerative processes},
  author = {Galina A. Zverkina},
  journal= {arXiv preprint arXiv:2112.15225},
  year   = {2023}
}

Comments

21 pages, 6 figures