{ "id": "1406.2883", "version": "v1", "published": "2014-06-11T12:29:04.000Z", "updated": "2014-06-11T12:29:04.000Z", "title": "On a General Approach to the Strong Laws of Large Numbers", "authors": [ "István Fazekas" ], "comment": "19 pages", "categories": [ "math.PR" ], "abstract": "A general method to obtain strong laws of large numbers is studied. The method is based on abstract H\\'ajek-R\\'enyi type maximal inequalities. The rate of convergence in the law of large numbers is also considered. Some applications for weakly dependent sequences are given.", "revisions": [ { "version": "v1", "updated": "2014-06-11T12:29:04.000Z" } ], "analyses": { "subjects": [ "60F15", "60G50" ], "keywords": [ "large numbers", "strong laws", "general approach", "abstract hajek-renyi type maximal inequalities", "general method" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1406.2883F" } } }