{
  "id": "2412.15648",
  "version": "v1",
  "published": "2024-12-20T08:05:54.000Z",
  "updated": "2024-12-20T08:05:54.000Z",
  "title": "A sufficient condition for local limit theorem",
  "authors": [
    "Kaoru Yoneda",
    "Tsuyoshi Yoneda"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We give a sufficient condition for the local limit theorem. To construct it, we employ infinite times of convolutions of probability density functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-20T08:05:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local limit theorem",
      "sufficient condition",
      "probability density functions",
      "employ infinite times",
      "convolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}