Practical drift conditions for subgeometric rates of convergence
- 1 August 2004
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 14 (3)
- https://doi.org/10.1214/105051604000000323
Abstract
International audienceWe present a new drift condition which implies rates of convergence to the stationary distribution of the iterates of a \psi-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 algorithmsKeywords
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