{
  "annotation_id": "ac5980b9-5162-4ec5-8d2f-a1fb0b4d6fe4",
  "date_created": "2026-03-02T18:01:03.545000Z",
  "date_modified": "2026-03-02T18:01:03.545000Z",
  "file_hash": "dfa2f851644359d3abe1299a07bb8e6a615c708be5e7ab3b6e9d83a469d55fe3",
  "private": false,
  "record": {
    "abstract": "In this note we present studies of coverage and power for confidence\nintervals for a Poisson process with known background calculated using the\nLikelihood ratio (aka Feldman \u0026 Cousins) ordering with Bayesian treatment of\nuncertainties in nuisance parameters. We consider both the variant where the\nBayesian integration is done in both the numerator and the denominator and the\nmodification where the integration is done only in the numerator whereas in the\ndenominator the likelihood is taken at the maximum likelihood estimate of the\nparameters. Furthermore we discuss how measurements can be combined in this\nframework and give an illustration with limits on the branching ratio of a rare\nB-meson decay recently presented by CDF/D0. A set of C++ classes has been\ndeveloped which can be used to calculate confidence intervals for single or\ncombining multiple experiments using the above algorithms and considering a\nvariety of parameterizations to describe the uncertainties.",
    "arxiv_id": "physics/0511055",
    "authors": [
      "Jan Conrad",
      "Fredrik Tegenfeldt"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1142/9781860948985_0020",
    "title": "Likelihood ratio intervals with Bayesian treatment of uncertainties:   coverage, power and combined experiments",
    "url": "https://arxiv.org/abs/physics/0511055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3232a9b1-ac67-450b-a3c3-d292fe13f6a8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}