{
  "annotation_id": "9b3450d6-72ed-4d99-ae77-c2ff79a0eb91",
  "date_created": "2026-02-17T05:53:15.638000Z",
  "date_modified": "2026-02-17T05:53:15.638000Z",
  "file_hash": "2aad716638fa352311cf1d8c704903e0bdaa07a01fab01223785165b38a46639",
  "private": false,
  "record": {
    "abstract": "This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this formula we deduce, using probabilistic approaches, lower and upper bounds for these numbers.",
    "arxiv_id": "2601.08453",
    "authors": [
      "Jakub Gismatullin",
      "Patrick Tardivel"
    ],
    "categories": [
      "math.PR",
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "doi": "10.37190/0208-4147.00156",
    "journal_ref": "Probability and Mathematical Statistics, 2024, Vol. 44, Fasc. 1, 119--132",
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Beta distribution and associated Stirling numbers of the second kind",
    "url": "https://arxiv.org/abs/2601.08453",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "299581ba-da6d-4293-ae29-e05c34189593",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}