{
  "id": "1802.06434",
  "version": "v1",
  "published": "2018-02-18T19:59:31.000Z",
  "updated": "2018-02-18T19:59:31.000Z",
  "title": "Random time-changes and asymptotic results for a class of continuous-time Markov chains on integers with alternating rates",
  "authors": [
    "Luisa Beghin",
    "Claudio Macci",
    "Barbara Martinucci"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider continuous-time Markov chains on integers which allow transitions to adjacent states only, with alternating rates. We give explicit formulas for probability generating functions, and also for means, variances and state probabilities of the random variables of the process. Moreover we study independent random time-changes with the inverse of the stable subordinator, the stable subordinator and the tempered stable subodinator. We also present some asymptotic results in the fashion of large deviations. These results give some generalizations of those presented in Di Crescenzo A., Macci C., Martinucci B. (2014).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-18T19:59:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "60J27",
      "60G22",
      "60G52"
    ],
    "keywords": [
      "continuous-time markov chains",
      "asymptotic results",
      "alternating rates",
      "study independent random time-changes",
      "stable subordinator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}