{ "id": "math/0608706", "version": "v2", "published": "2006-08-29T08:10:02.000Z", "updated": "2006-11-22T07:02:17.000Z", "title": "Entropy method for the left tail", "authors": [ "Hyungsu Kim", "Chul Ki Ko", "Sungchul Lee" ], "categories": [ "math.PR" ], "abstract": "When we use the entropy method to get the tail bounds, typically the left tail bounds are not good comparing with the right ones. Up to now this asymmetry has been observed many times. Surprisingly we find an entropy method for the left tail that works in the exactly same way that it works for the right tail.", "revisions": [ { "version": "v2", "updated": "2006-11-22T07:02:17.000Z" } ], "analyses": { "subjects": [ "60E15", "60C05", "28A35" ], "keywords": [ "entropy method", "left tail bounds", "right tail" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......8706K" } } }