{
  "id": "1304.0250",
  "version": "v1",
  "published": "2013-03-31T20:21:25.000Z",
  "updated": "2013-03-31T20:21:25.000Z",
  "title": "CLT for continuous random processes under approximations terms",
  "authors": [
    "E. Ostrovsky",
    "L. Sirota"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We formulate and prove a new sufficient conditions for Central Limit Theorem(CLT) in the space of continuous functions in the terms typical for the approximation theory. We prove that the conditions for continuous CLT obtained by N.C.Jain and M.B.Marcus are under some natural additional conditions necessary. We provide also some examples in order to show the exactness of obtained results and illustrate briefly the applications in the Monte-Carlo method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-31T20:21:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuous random processes",
      "approximations terms",
      "natural additional conditions necessary",
      "central limit theorem",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0250O"
    }
  }
}