{
  "annotation_id": "84dbc2e0-4dac-4cbf-9fd5-934305f2ec99",
  "date_created": "2026-03-02T18:00:46.976000Z",
  "date_modified": "2026-03-02T18:00:46.976000Z",
  "file_hash": "6bc13756db898873c2bc535d62c61b2a356bcfcf8d7cd952324ea2add4ae1789",
  "private": false,
  "record": {
    "abstract": "We consider the standard Neyman-Pearson hypothesis test of a\nsignal-plus-background hypothesis and background-only hypothesis in the\npresence of uncertainty on the background-only prediction. Surprisingly, this\nproblem has not been addressed in the recent conferences on statistical\ntechniques in high-energy physics -- although the its confidence-interval\nequivalent has been. We discuss the issues of power, similar tests, coverage,\nand ordering rules. The method presented is compared to the Cousins-Highland\ntechnique, the ratio of Poisson means, and ``profile\u0027\u0027 method.",
    "arxiv_id": "physics/0310108",
    "authors": [
      "Kyle S. Cranmer"
    ],
    "categories": [
      "physics.data-an"
    ],
    "journal_ref": "ECONF C030908:WEMT004,2003",
    "title": "Frequentist Hypothesis Testing with Background Uncertainty",
    "url": "https://arxiv.org/abs/physics/0310108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "858d8827-4aa3-4d91-9da7-a755a7c17595",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}