{ "id": "math/0508446", "version": "v3", "published": "2005-08-24T14:54:44.000Z", "updated": "2006-05-21T09:36:17.000Z", "title": "On filtering of Markov chains in strong noise", "authors": [ "P. Chigansky" ], "comment": "correction of typos. to appear in IEEE Trans. Inf. Theory", "journal": "IEEE Transactions on Information Theory, Vol. 52, No. 9, (2006), pp. 4267-4272", "categories": [ "math.PR", "math.ST", "stat.TH" ], "abstract": "The filtering problem for finite state Markov chains is revisited, when the intensity of the observation noise increases. We give a description of conditional measure concentration around the invariant distribution of the signal and derive asymptotic expressions for the performance indices of the MMSE and MAP filtering estimates.", "revisions": [ { "version": "v3", "updated": "2006-05-21T09:36:17.000Z" } ], "analyses": { "subjects": [ "93E11", "62M05", "62M02" ], "keywords": [ "strong noise", "finite state markov chains", "observation noise increases", "conditional measure concentration", "map filtering estimates" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8446C" } } }