{ "id": "1904.07604", "version": "v1", "published": "2019-04-16T11:37:06.000Z", "updated": "2019-04-16T11:37:06.000Z", "title": "Inequalities for m-Divisible Distributions and Testing of Infinite Divisibility", "authors": [ "Lev B. Klebanov", "Ashot V. Kakosyan", "Irina V. Volchenkova" ], "categories": [ "math.PR" ], "abstract": "We state some inequalities for m-divisible and infinite divisible characteristic functions. Basing on them we propose a statistical test for a distribution to be infinitely divisible. Keywords: infinite divisible distributions; statistical tests.", "revisions": [ { "version": "v1", "updated": "2019-04-16T11:37:06.000Z" } ], "analyses": { "subjects": [ "60E05", "60E07", "60E10", "60E15" ], "keywords": [ "infinite divisibility", "m-divisible distributions", "inequalities", "infinite divisible characteristic functions", "statistical test" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }