{ "id": "1206.4799", "version": "v1", "published": "2012-06-21T07:46:49.000Z", "updated": "2012-06-21T07:46:49.000Z", "title": "On Strong Convergence for Maxima", "authors": [ "Alexei Stepanov" ], "categories": [ "math.PR" ], "abstract": "In the present paper, a generalization of the first part of the Borel-Cantelli lemma is obtained by the recent work of Balakrishnan and Stepanov (2010). This generalization is further applied to derive strong limit results for the sequence of maxima.", "revisions": [ { "version": "v1", "updated": "2012-06-21T07:46:49.000Z" } ], "analyses": { "keywords": [ "strong convergence", "derive strong limit results", "generalization", "first part", "borel-cantelli lemma" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.4799S" } } }