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We demonstrate this with three MCMC methods on a likelihood based on a complex, high-dimensional blood coagulation model and a single series of measurements.\nBy using the approximation of the artificial prior for the non-identifiable directions, we obtain a sample quality criterion. Unlike other sample quality criteria, it is valid even for short chain lengths.\nWe use the criterion to compare the following three MCMC variants:\nThe Random Walk Metropolis Hastings, the Adaptive Metropolis Hastings and the Metropolis adjusted Langevin algorithm.<\/jats:p>","DOI":"10.1515\/mcma-2018-0018","type":"journal-article","created":{"date-parts":[[2018,7,25]],"date-time":"2018-07-25T22:16:13Z","timestamp":1532556973000},"page":"203-214","source":"Crossref","is-referenced-by-count":1,"title":["Markov-Chain Monte-Carlo methods and non-identifiabilities"],"prefix":"10.1515","volume":"24","author":[{"given":"Christian","family":"M\u00fcller","sequence":"first","affiliation":[{"name":"RwtH Aachen Joint Research Center for Computational Biomedicine , Aachen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabian","family":"Weysser","sequence":"additional","affiliation":[{"name":"Bayer AG, Applied Mathematics , Leverkusen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Mrziglod","sequence":"additional","affiliation":[{"name":"Bayer AG, Applied Mathematics , Leverkusen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andreas","family":"Schuppert","sequence":"additional","affiliation":[{"name":"RwtH Aachen Joint Research Center for Computational Biomedicine , Aachen , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2018,7,25]]},"reference":[{"key":"2023040100384487612_j_mcma-2018-0018_ref_001_w2aab3b7b5b1b6b1ab1b6b1Aa","doi-asserted-by":"crossref","unstructured":"G.  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