{
  "annotation_id": "ea6984e9-af72-4a49-a316-ad7b5c524042",
  "date_created": "2026-03-02T18:00:53.348000Z",
  "date_modified": "2026-03-02T18:00:53.348000Z",
  "file_hash": "f1dd0ec9ccd073125c26f140e770babfe4f8502dca975575c1d2b6682e89a967",
  "private": false,
  "record": {
    "abstract": "In high energy physics, a widely used method to treat systematic\nuncertainties in confidence interval calculations is based on combining a\nfrequentist construction of confidence belts with a Bayesian treatment of\nsystematic uncertainties. In this note we present a study of the coverage of\nthis method for the standard Likelihood Ratio (aka Feldman \u0026 Cousins)\nconstruction for a Poisson process with known background and Gaussian or\nlog-Normal distributed uncertainties in the background or signal efficiency.\nFor uncertainties in the signal efficiency of upto 40 % we find over-coverage\non the level of 2 to 4 % depending on the size of uncertainties and the region\nin signal space. Uncertainties in the background generally have smaller effect\non the coverage. A considerable smoothing of the coverage curves is observed. A\nsoftware package is presented which allows fast calculation of the confidence\nintervals for a variety of assumptions on shape and size of systematic\nuncertainties for different nuisance parameters. The calculation speed allows\nexperimenters to test the coverage for their specific conditions.",
    "arxiv_id": "physics/0408039",
    "authors": [
      "Fredrik Tegenfeldt",
      "Jan Conrad"
    ],
    "categories": [
      "physics.data-an",
      "astro-ph",
      "hep-ex"
    ],
    "doi": "10.1016/j.nima.2004.09.037",
    "journal_ref": "Nucl.Instrum.Meth. A539 (2005) 407-413",
    "title": "On Bayesian Treatment of Systematic Uncertainties in Confidence Interval   Calculation",
    "url": "https://arxiv.org/abs/physics/0408039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd711639-1253-4543-b272-baf6f6cc8bf8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}