Stein's Method and Non-Reversible Markov Chains

dc.creatorFulman, Jason
dc.date1997-12-09
dc.date2004-08-17
dc.date.accessioned2026-07-07T05:23:24Z
dc.date.available2026-07-07T05:23:24Z
dc.descriptionLet W be either the number of descents or inversions of a permutation. Stein's method is applied to show that W satisfies a central limit theorem with error rate n^(-1/2). The construction of an exchangeable pair (W,W') used in Stein's method is non-trivial and uses a non-reversible Markov chain.
dc.description9 pages; final version appearing in IMS Lecture Notes, Volume 46 "Stein's Method: Expository Lectures and Applications". Change in title, slightly better bounds and exposition, updated bibliography
dc.identifierhttps://arxiv.org/abs/math/9712241
dc.identifierhttp://arxiv.org/abs/math/9712241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76421
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60F05;20B30
dc.titleStein's Method and Non-Reversible Markov Chains
dc.typetext

Files

Collections