{ "id": "1307.5970", "version": "v2", "published": "2013-07-23T08:11:15.000Z", "updated": "2017-07-11T09:11:59.000Z", "title": "On the representation of an integrated Gauss-Markov process", "authors": [ "Mario Abundo" ], "comment": "This is a new, revised version which corrects an error in the previous version", "journal": "Scientiae Mathematicae Japonicae Online 26 (2013) 719-723", "categories": [ "math.PR" ], "abstract": "We find a representation of the integral of a Gauss-Markov process in the interval [0, t], in terms of Brownian motion. Moreover, some connections with first-passagetime problems are discussed, and some examples are reported.", "revisions": [ { "version": "v1", "updated": "2013-07-23T08:11:15.000Z", "comment": null, "doi": null }, { "version": "v2", "updated": "2017-07-11T09:11:59.000Z" } ], "analyses": { "subjects": [ "60J60", "60H05", "60H10" ], "keywords": [ "integrated gauss-markov process", "representation", "brownian motion", "first-passagetime problems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1307.5970A" } } }