{"paper":{"title":"Lower limits for distributions of randomly stopped sums","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Denis Denisov, Dmitry Korshunov, Sergey Foss","submitted_at":"2007-11-28T13:11:57Z","abstract_excerpt":"We study lower limits for the ratio $\\frac{\\bar{F^{*\\tau}}(x)}{\\bar F(x)}$ of tail distributions where $ F^{*\\tau}$ is a distribution of a sum of a random size $\\tau$ of i.i.d. random variables having a common distribution $F$, and a random variable $\\tau$ does not depend on summands."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.4491","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"}