{"paper":{"title":"Finite sample bounds for expected number of false rejections under martingale dependence with applications to FDR","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Arnold Janssen, Julia Benditkis","submitted_at":"2016-08-09T09:43:50Z","abstract_excerpt":"Much effort has been made to improve the famous step up test of Benjamini and Hochberg given by linear critical values $\\frac{i\\alpha}{n}$. It is pointed out by Gavrilov, Benjamini and Sarkar that step down multiple tests based on the critical values $\\beta_i=\\frac{i\\alpha}{n+1-i(1-\\alpha)}$ still control the false discovery rate (FDR) at the upper bound $\\alpha$ under basic independence assumptions. Since that result in not longer true for step up tests or dependent single tests, a big discussion about the corresponding FDR starts in the literature. The present paper establishes finite sample"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02743","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"}