{ "id": "2101.12695", "version": "v1", "published": "2021-01-29T17:32:30.000Z", "updated": "2021-01-29T17:32:30.000Z", "title": "Asymptotics for Kendall's renewal function", "authors": [ "[M. Cadena", "B. H. Jasiulis-Gołdyn", "E. Omey" ], "categories": [ "math.PR" ], "abstract": "An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Go{\\l}dyn et al. (2020) in a setting of Kendall convolutions are proved under weaker hypothesis and extended to the Gamma class. Convergence rates of the limits concerned in these theorems are analyzed.", "revisions": [ { "version": "v1", "updated": "2021-01-29T17:32:30.000Z" } ], "analyses": { "subjects": [ "60K05", "26A12", "60E99", "41A25" ], "keywords": [ "kendalls renewal function", "asymptotics", "elementary renewal theorem", "blackwell theorem", "kendall convolutions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }