{"paper":{"title":"On general strong laws of large numbers for fields of random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Cheikhna Hamallah, Gane Samb Lo","submitted_at":"2011-11-21T12:08:32Z","abstract_excerpt":"A general method to prove strong laws of large numbers for random fields is given. It is based on the H\\'ajek - R\\'enyi type method presented in Nosz\\'aly and T\\'om\\'acs \\cite{noszaly} and in T\\'om\\'acs and L\\'ibor \\cite{thomas06}. Nosz\\'aly and T\\'om\\'acs \\cite{noszaly} obtained a H\\'ajek-R\\'enyi type maximal inequality for random fields using moments inequalities. Recently, T\\'om\\'acs and L\\'ibor \\cite{thomas06} obtained a H\\'ajek-R\\'enyi type maximal inequality for random sequences based on probabilities, but not for random fields. In this paper we present a H\\'ajek-R\\'enyi type maximal ine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4845","kind":"arxiv","version":3},"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"}