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Markov Chains and De-initializing Processes
Authors:Gareth O. Roberts,&   Jeffrey S. Rosenthal
Affiliation:Lancaster University,;University of Toronto
Abstract:
We define a notion of de-initializing Markov chains. We prove that to analyse convergence of Markov chains to stationarity, it suffices to analyse convergence of a de-initializing chain. Applications are given to Markov chain Monte Carlo algorithms and to convergence diagnostics.
Keywords:convergence rate    de-initializing process    Markov chain    Markov chain Monte Carlo    stochastic process
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