{ "id": "1409.5285", "version": "v1", "published": "2014-09-18T12:46:05.000Z", "updated": "2014-09-18T12:46:05.000Z", "title": "Optimal stopping of an $α$-Brownian bridge", "authors": [ "Maik Görgens" ], "comment": "11 pages, 3 figures", "categories": [ "math.PR" ], "abstract": "We study the problem of stopping an $\\alpha$-Brownian bridge as close as possible to its global maximum. This extends earlier results found for the Brownian bridge (the case $\\alpha=1$). The exact behavior for $\\alpha$ close to $0$ is investigated.", "revisions": [ { "version": "v1", "updated": "2014-09-18T12:46:05.000Z" } ], "analyses": { "subjects": [ "60G40", "33C15" ], "keywords": [ "brownian bridge", "optimal stopping", "extends earlier results", "exact behavior", "global maximum" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.5285G" } } }