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In the multi-parameter case, our approach allows to analyze the impact of correlation between the uncertainty on the individual parameters the model output metric. In addition, we also approximate true risk by using the Chebyshev\u2019 inequality. Numerical results are presented and compared to the corresponding Monte Carlo simulations ones.<\/jats:p>","DOI":"10.1051\/ro\/2019091","type":"journal-article","created":{"date-parts":[[2019,9,19]],"date-time":"2019-09-19T18:57:15Z","timestamp":1568919435000},"page":"S593-S624","source":"Crossref","is-referenced-by-count":1,"special_numbering":"Supplement","title":["Statistical Taylor series expansion: An approach for epistemic uncertainty propagation in Markov reliability models"],"prefix":"10.1051","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0344-3718","authenticated-orcid":false,"given":"Katia","family":"Bachi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6118-2889","authenticated-orcid":false,"given":"Karim","family":"Abbas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3389-2311","authenticated-orcid":false,"given":"Bernd","family":"Heidergott","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2021,3,2]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10626-012-0135-1","volume":"23","author":"Abbas","year":"2013","journal-title":"Discrete Event Dyn. 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