{ "id": "1810.04466", "version": "v1", "published": "2018-10-10T11:45:27.000Z", "updated": "2018-10-10T11:45:27.000Z", "title": "On some Limit Theorem for Markov Chain", "authors": [ "Anna Czapkiewicz", "Antoni Dawidowicz" ], "categories": [ "math.ST", "stat.TH" ], "abstract": "The goal of this paper is to describe conditions which guarantee a central limit theorem for random variables, which distributions are controled by hidden Markov chains. We proved that when a Markov chain is ergodic and random variables fullfiled Lindeberg's condition then the Central Limit Theorem is true.", "revisions": [ { "version": "v1", "updated": "2018-10-10T11:45:27.000Z" } ], "analyses": { "keywords": [ "central limit theorem", "random variables fullfiled lindebergs condition", "hidden markov chains" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }