{ "id": "1502.03369", "version": "v1", "published": "2015-02-11T16:51:42.000Z", "updated": "2015-02-11T16:51:42.000Z", "title": "Multivariate central limit theorems for averages of fractional Volterra processes and applications to parameter estimation", "authors": [ "Ivan Nourdin", "David Nualart", "Rola Zintout" ], "categories": [ "math.PR" ], "abstract": "The purpose of this paper is to establish the multivariate normal convergence for the average of certain Volterra processes constructed from a fractional Brownian motion with Hurst parameter H>1/2. Some applications to parameter estimation are then discussed.", "revisions": [ { "version": "v1", "updated": "2015-02-11T16:51:42.000Z" } ], "analyses": { "subjects": [ "60F05", "60G22", "62M09" ], "keywords": [ "multivariate central limit theorems", "fractional volterra processes", "parameter estimation", "applications", "multivariate normal convergence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }