{
  "annotation_id": "03ef162c-0ae6-48cb-8e1f-3f62b310b0af",
  "date_created": "2026-03-02T18:01:17.823000Z",
  "date_modified": "2026-03-02T18:01:17.823000Z",
  "file_hash": "41c8787bc365bc4ee15b1b1eb544b0cd2c1d9e39e579a881f23c95d41fd60d5a",
  "private": false,
  "record": {
    "abstract": "We discuss the problem of defining an estimate for the error in quasi-Monte\nCarlo integration. The key issue is the definition of an ensemble of\nquasi-random point sets that, on the one hand, includes a sufficiency of\nequivalent point sets, and on the other hand uses information on the degree of\nuniformity of the point set actually used, in the form of a discrepancy or\ndiaphony. A few examples of such discrepancies are given. We derive the\ndistribution of our error estimate in the limit of large number of points. In\nmany cases, Gaussian central limits are obtained. We also present numerical\nresults for the quadratic star-discrepancy for a number of quasi-random\nsequences.",
    "arxiv_id": "physics/9611010",
    "authors": [
      "Fred James",
      "Jiri Hoogland",
      "Ronald Kleiss"
    ],
    "categories": [
      "physics.comp-ph",
      "hep-ph"
    ],
    "title": "Quasi-Monte Carlo, Discrepancies and Error Estimates",
    "url": "https://arxiv.org/abs/physics/9611010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0de539d5-1ca1-4a38-96d8-4e8e28bb6127",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}