{
  "id": "1905.10507",
  "version": "v1",
  "published": "2019-05-25T03:09:37.000Z",
  "updated": "2019-05-25T03:09:37.000Z",
  "title": "On Obtaining Sharp Bounds of the Rate of Convergence for a Class of Continuous-Time Markov Chains",
  "authors": [
    "A. I. Zeifman",
    "Y. A. Satin",
    "K. M. Kiseleva"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study inhomogeneous continuous-time weakly ergodic Markov chains on a finite state space. We introduce a notion of Markov chain with the regular structure of an infinitesimal matrix and study the sharp upper bounds on the rate of convergence for this class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-25T03:09:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous-time markov chains",
      "obtaining sharp bounds",
      "convergence",
      "continuous-time weakly ergodic markov chains",
      "inhomogeneous continuous-time weakly ergodic markov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}