{
  "id": "2212.12241",
  "version": "v1",
  "published": "2022-12-23T10:30:46.000Z",
  "updated": "2022-12-23T10:30:46.000Z",
  "title": "A maximal inequality for dependent random variables",
  "authors": [
    "João Lita da Silva"
  ],
  "comment": "21 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "For a sequence $\\{X_{n}, \\, n \\geqslant 1 \\}$ of random variables satisfying $\\mathbb{E} \\lvert X_{n} \\rvert < \\infty$ for all $n \\geqslant 1$, a maximal inequality is established, and used to obtain strong law of large numbers for dependent random variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-23T10:30:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15"
    ],
    "keywords": [
      "dependent random variables",
      "maximal inequality",
      "strong law",
      "large numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}