Practical drift conditions for subgeometric rates of convergence

Details Practical drift conditions for subgeometric rates of convergence Practical drift conditions for subgeometric rates of convergence

2004-07-08

arxiv.org/abs/math/0407122v1

Annals of Probability 2004, Vol. 14, No. 3, 1353-1377

Mathematics

Probability

Scientific paper

10.1214/105051604000000323

We 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 algorithms.

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