Practical drift conditions for subgeometric rates of convergence

dc.creatorDouc, Randal
dc.creatorFort, Gersende
dc.creatorMoulines, Eric
dc.creatorSoulier, Philippe
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:10:04Z
dc.date.available2026-07-07T05:10:04Z
dc.descriptionWe present a new drift condition which implies rates of convergence to the stationary distribution of the iterates of a ψ-irreducible aperiodic and positive recurrent transition kernel. This condition, extending a condition introduced by Jarner and Roberts [Ann. Appl. Probab. 12 (2002) 224-247] for polynomial convergence rates, turns out to be very convenient to prove subgeometric rates of convergence. Several applications are presented including nonlinear autoregressive models, stochastic unit root models and multidimensional random walk Hastings-Metropolis algorithms.
dc.identifierhttps://arxiv.org/abs/math/0407122
dc.identifierhttp://arxiv.org/abs/math/0407122
dc.identifierAnnals of Probability 2004, Vol. 14, No. 3, 1353-1377
dc.identifierdoi:10.1214/105051604000000323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71813
dc.subjectProbability
dc.subject60J10. (Primary)
dc.titlePractical drift conditions for subgeometric rates of convergence
dc.typetext

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