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Zbl 1043.60054
Jarner, Søren F.; Tweedie, Richard L.
Necessary conditions for geometric and polynomial ergodicity of random-walk-type Markov chains.
(English)
[J] Bernoulli 9, No. 4, 559-578 (2003). ISSN 1350-7265

The authors obtain conditions for geometric and polynomial convergence rates of random-walk-type Markov chains to stationarity in terms of existence of exponential resp.~polynomial moments of the invariant distribution and the transition kernel. An application to the Metropolis algorithm is given.
[Rudolf Grübel (Hannover)]
MSC 2000:
*60J05 Markov processes with discrete parameter

Keywords: rate of convergence; stationary distribution; moments; Metropolis algorithm; Markov chain Monte Carlo

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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