{ "id": "1505.03228", "version": "v1", "published": "2015-05-13T03:11:13.000Z", "updated": "2015-05-13T03:11:13.000Z", "title": "Some Properties of Reflected Backward Stochastic Differential Equations for a Finite State Markov Chain Model", "authors": [ "Zhe Yang", "Dimbinirina Ramarimbahoaka", "Robert J. Elliott" ], "comment": "22 pages", "categories": [ "math.PR" ], "abstract": "In this paper, we provide an estimate for the solutions of reflected backward stochastic differential equations (RBSDEs) driven by a Markov chain, derive a continuous dependence property for their solutions with respect to the parameters of the equations, and show similar properties for solutions of backward stochastic differential equations (BSDEs). We finally establish a comparison result for the solutions of RBSDEs driven by a Markov chain.", "revisions": [ { "version": "v1", "updated": "2015-05-13T03:11:13.000Z" } ], "analyses": { "keywords": [ "reflected backward stochastic differential equations", "finite state markov chain model" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150503228Y" } } }