{
  "id": "1909.09763",
  "version": "v1",
  "published": "2019-09-21T03:02:33.000Z",
  "updated": "2019-09-21T03:02:33.000Z",
  "title": "Probabilities of deviations for weak record numbers in simple random walks",
  "authors": [
    "Yuqiang Li",
    "Qiang Yao"
  ],
  "comment": "32 Pages",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "Record Numbers are basic statistics in random walks, whose deviation principles are unknown so far. In this paper, the asymptotic probabilities of moderate and small deviations for numbers of ladder points in a simple symmetric random walk on line are proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-21T03:02:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F10",
      "60F17",
      "60G50",
      "60K05"
    ],
    "keywords": [
      "weak record numbers",
      "simple random walks",
      "simple symmetric random walk",
      "asymptotic probabilities",
      "ladder points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}