{ "id": "1107.0361", "version": "v1", "published": "2011-07-02T05:20:00.000Z", "updated": "2011-07-02T05:20:00.000Z", "title": "The Independence under Sublinear Expectations", "authors": [ "Mingshang Hu" ], "comment": "8 pages", "categories": [ "math.PR" ], "abstract": "We show that, for two non-trivial random variables X and Y under a sublinear expectation space, if X is independent from Y and Y is independent from X, then X and Y must be maximally distributed.", "revisions": [ { "version": "v1", "updated": "2011-07-02T05:20:00.000Z" } ], "analyses": { "keywords": [ "independence", "non-trivial random variables", "sublinear expectation space" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1107.0361H" } } }