{ "id": "2207.01867", "version": "v1", "published": "2022-07-05T08:00:32.000Z", "updated": "2022-07-05T08:00:32.000Z", "title": "Variations and extensions of the Gaussian concentration inequality, Part IIa: Special case", "authors": [ "Daniel J. Fresen" ], "comment": "21 pages. A significant amount of the material here was originally part of arXiv:2203.12523 and/or arXiv:1812.10938 and now stands as a paper on its own", "categories": [ "math.PR", "math.FA" ], "abstract": "A deviation inequality is proved for linear combinations of independent random variables with power-type decay. This is the second paper in a series of four: Part I, Part IIa, Part IIb and a supporting paper.", "revisions": [ { "version": "v1", "updated": "2022-07-05T08:00:32.000Z" } ], "analyses": { "subjects": [ "60E05", "60E15", "46N30" ], "keywords": [ "gaussian concentration inequality", "part iia", "special case", "variations", "extensions" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }