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math.ST2024
Convergence Bounds for Monte Carlo Markov Chains
Qian Qin
This review paper, written for the second edition of the Handbook of Markov Chain Monte Carlo, provides an introduction to the study of convergence analysis for Markov chain Monte…
stat.CO2024
Multivariate strong invariance principle and uncertainty assessment for time in-homogeneous cyclic MCMC samplers
Haoxiang Li, Qian Qin
Time in-homogeneous cyclic Markov chain Monte Carlo (MCMC) samplers, including deterministic scan Gibbs samplers and Metropolis within Gibbs samplers, are extensively used for samp…