{ "id": "1211.1967", "version": "v1", "published": "2012-11-08T20:58:12.000Z", "updated": "2012-11-08T20:58:12.000Z", "title": "Central limit theorem for functionals of two independent fractional Brownian motions", "authors": [ "David Nualart", "Fangjun Xu" ], "categories": [ "math.PR" ], "abstract": "We prove a central limit theorem for functionals of two independent $d$-dimensional fractional Brownian motions with the same Hurst index $H$ in $(\\frac{2}{d+1},\\frac{2}{d})$ using the method of moments.", "revisions": [ { "version": "v1", "updated": "2012-11-08T20:58:12.000Z" } ], "analyses": { "keywords": [ "independent fractional brownian motions", "central limit theorem", "functionals", "dimensional fractional brownian motions", "hurst index" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.1967N" } } }