{"paper":{"title":"On combining significances. Some trivial examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.data-an","authors_text":"N.V.Krasnikov, S.I.Bityukov","submitted_at":"2010-12-02T15:58:34Z","abstract_excerpt":"For Poisson distribution $Pois(n, \\lambda)$ with $\\lambda \\gg 1$, $n \\gg 1$ we propose to determine significance as $S =  \\frac{n_{obs}-\\lambda}{\\sqrt{\\lambda}}$. The significance $S$ coincides up to sign with often used significance. For experiments which measure the same quantities the natural but not unique rule for significance combining is $S_{comb}(S_1, S_2) =  \\frac{S_1\\sigma_1+S_2\\sigma_2}{\\sqrt{\\sigma^2_1+\\sigma^2_2}}$, where $\\sigma_1$ and $\\sigma_2$ are variations. We also propose the rule for significances combining for the case with systematic errors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0465","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}