{"paper":{"title":"Strong laws of large numbers for arrays of row-wise extended negatively dependent random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jo\\~ao Lita da Silva","submitted_at":"2019-04-02T10:37:40Z","abstract_excerpt":"The main purpose of this paper is to obtain strong laws of large numbers for arrays or weighted sums of random variables under a scenario of dependence. Namely, for triangular arrays $\\{X_{n,k}, \\, 1 \\leqslant k \\leqslant n, \\, n \\geqslant 1 \\}$ of row-wise extended negatively dependent random variables weakly mean dominated by a random variable $X \\in \\mathscr{L}_{1}$ and sequences $\\{b_{n} \\}$ of positive constants, conditions are given to ensure $\\sum_{k=1}^{n} \\left(X_{n,k} - \\mathbb{E} \\, X_{n,k} \\right)/b_{n} \\overset{\\textnormal{a.s.}}{\\longrightarrow} 0$. Our statements also allow us t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.01327","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"}