{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T22:43:11Z","timestamp":1778798591124,"version":"3.51.4"},"reference-count":20,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2018,1,30]],"date-time":"2018-01-30T00:00:00Z","timestamp":1517270400000},"content-version":"unspecified","delay-in-days":974,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Probability"],"published-print":{"date-parts":[[2015,6]]},"abstract":"<jats:p>We provide explicit expressions for the constants involved in the characterisation of ergodicity of subgeometric Markov chains. The constants are determined in terms of those appearing in the assumed drift and one-step minorisation conditions. The results are fundamental for the study of some algorithms where uniform bounds for these constants are needed for a family of Markov kernels. Our results accommodate also some classes of inhomogeneous chains.<\/jats:p>","DOI":"10.1239\/jap\/1437658605","type":"journal-article","created":{"date-parts":[[2015,7,23]],"date-time":"2015-07-23T13:38:33Z","timestamp":1437658713000},"page":"391-404","source":"Crossref","is-referenced-by-count":17,"title":["Quantitative Convergence Rates for Subgeometric Markov Chains"],"prefix":"10.1017","volume":"52","author":[{"given":"Christophe","family":"Andrieu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gersende","family":"Fort","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matti","family":"Vihola","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2018,1,30]]},"reference":[{"key":"S002190020012114X_ref1","unstructured":"[1] Andrieu C. and Fort G. (2005). \u201cExplicit control of subgeometric ergodicity.\u201d Res. Rep. 05:17, School of Mathematics, University of Bristol."},{"key":"S002190020012114X_ref19","doi-asserted-by":"publisher","DOI":"10.1214\/10-AAP682"},{"key":"S002190020012114X_ref5","doi-asserted-by":"publisher","DOI":"10.1214\/14-AAP1022"},{"key":"S002190020012114X_ref10","doi-asserted-by":"publisher","DOI":"10.3150\/07-BEJ5162"},{"key":"S002190020012114X_ref4","doi-asserted-by":"publisher","DOI":"10.3150\/12-BEJ497"},{"key":"S002190020012114X_ref7","doi-asserted-by":"publisher","DOI":"10.3150\/09-BEJ199"},{"key":"S002190020012114X_ref12","unstructured":"[12] Fort G. (2001). \u201cContr\u00f4le explicite d'ergodicit\u00e9 de cha\u00eene de Markov: applications \u00e0 l'analyse de convergence de l'algorithme Monte-Carlo EM.\u201d Doctoral thesis, Universit\u00e9 Paris VI."},{"key":"S002190020012114X_ref13","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(02)00182-5"},{"key":"S002190020012114X_ref6","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012902417267"},{"key":"S002190020012114X_ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-008-9110-y"},{"key":"S002190020012114X_ref8","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000710"},{"key":"S002190020012114X_ref9","doi-asserted-by":"publisher","DOI":"10.1214\/105051604000000620"},{"key":"S002190020012114X_ref11","doi-asserted-by":"crossref","first-page":"1353","DOI":"10.1214\/105051604000000323","article-title":"Practical drift conditions for subgeometric rates of convergence","volume":"14","author":"Douc","year":"2004","journal-title":"Ann. Appl. 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