{ "id": "1108.4243", "version": "v2", "published": "2011-08-22T07:13:38.000Z", "updated": "2013-10-27T22:54:45.000Z", "title": "A new kind of augmentation of filtrations suitable for a change of probability measure by a strict local martingale", "authors": [ "Doerte Kreher", "Ashkan Nikeghbali" ], "categories": [ "math.PR" ], "abstract": "In this note we introduce a new kind of augmentation of filtrations along a sequence of stopping times. This augmentation is suitable for the construction of new probability measures associated to a positive strict local martingale as done in \\cite{split1}, while it is on the other hand rich enough to make classical results from stochastic analysis hold true on some stochastic interval of interest.", "revisions": [ { "version": "v2", "updated": "2013-10-27T22:54:45.000Z" } ], "analyses": { "keywords": [ "probability measure", "filtrations suitable", "augmentation", "stochastic analysis hold true", "positive strict local martingale" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.4243K" } } }