{ "id": "1205.4441", "version": "v4", "published": "2012-05-20T17:48:27.000Z", "updated": "2014-06-29T09:26:24.000Z", "title": "Some Characterizations Of Mixed Renewal Processes", "authors": [ "D. P. Lyberopoulos", "N. D. Macheras" ], "comment": "corrected version, important revisions in Section 5 ---- Key Words: mixed renewal process, disintegration, product regular conditional probability, subfield regular conditional probability, exchangeability", "categories": [ "math.PR" ], "abstract": "Some characterizations of mixed renewal processes in terms of exchangeability and of different types of disintegrations are given. As a consequence, an existence result for mixed renewal processes, providing also a new construction for them, is obtained. As an application, some concrete examples of constructing such processes are presented and the corresponding disintegrating measures are explicitly computed.", "revisions": [ { "version": "v4", "updated": "2014-06-29T09:26:24.000Z" } ], "analyses": { "subjects": [ "60G55", "60G09", "28A50", "60A10", "60K05", "91B30" ], "keywords": [ "mixed renewal processes", "characterizations", "existence result", "concrete examples", "disintegrations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.4441L" } } }