{ "id": "1104.5296", "version": "v2", "published": "2011-04-28T05:03:16.000Z", "updated": "2012-02-09T08:51:01.000Z", "title": "General laws of large numbers under sublinear expectations", "authors": [ "Feng Hu" ], "categories": [ "math.PR" ], "abstract": "In this paper, under some weaker conditions, we give three laws of large numbers under sublinear expectations (capacities), which extend Peng's law of large numbers under sublinear expectations in [8] and Chen's strong law of large numbers for capacities in [1]. It turns out that these theorems are natural extensions of the classical strong (weak) laws of large numbers to the case where probability measures are no longer additive.", "revisions": [ { "version": "v2", "updated": "2012-02-09T08:51:01.000Z" } ], "analyses": { "keywords": [ "large numbers", "sublinear expectations", "general laws", "extend pengs law", "chens strong law" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1104.5296H" } } }