{
  "id": "1603.04743",
  "version": "v1",
  "published": "2016-03-15T16:19:24.000Z",
  "updated": "2016-03-15T16:19:24.000Z",
  "title": "Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. II",
  "authors": [
    "Dmitrii Silvestrov",
    "Sergei Silvestrov"
  ],
  "comment": "33 pages. This is Part II of the paper, which is a shorten and improved version off the paper arXiv:1603.03891",
  "categories": [
    "math.PR"
  ],
  "abstract": "Asymptotic expansions with explicit upper bounds for remainders are given for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces. The corresponding algorithms are based on a special technique of sequential phase space reduction, which can be applied to processes with an arbitrary asymptotic communicative structure of phase spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-15T16:19:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "60J27",
      "60K15",
      "65C40"
    ],
    "keywords": [
      "nonlinearly perturbed semi-markov processes",
      "asymptotic expansions",
      "stationary distributions",
      "sequential phase space reduction",
      "explicit upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160304743S"
    }
  }
}