328 citations · 419 across the 13 of their papers we have counts for
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math.PR2014★ 10 cited
Stability of adversarial Markov chains, with an application to adaptive MCMC algorithms
Radu V. Craiu, Lawrence Gray, Krzysztof Łatuszyński +3
We consider whether ergodic Markov chains with bounded step size remain bounded in probability when their transitions are modified by an adversary on a bounded subset. We provide c…
math.PR2014★ 3 cited
Convergence Rates for Hierarchical Gibbs Samplers
Oliver Jovanovski, Neal Madras
We establish some results for the rate of convergence in total variation of a Gibbs sampler to its equilibrium distribution. This sampler is motivated by a hierarchical Bayesian in…
math.PR2014★ 5 cited
Structure of Random 312-Avoiding Permutations
Neal Madras, Lerna Pehlivan
We evaluate the probabilities of various events under the uniform distribution on the set of 312-avoiding permutations of 1,...,N. We derive exact formulas for the probability that…