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math.NA2024★ 1 cited
Optimal convergence rates of MCMC integration for functions with unbounded second moment
Julian Hofstadler
We study the Markov chain Monte Carlo (MCMC) estimator for numerical integration for functions that do not need to be square integrable w.r.t. the invariant distribution. For chain…
math.NA2024★ 3 cited
Almost sure convergence rates of adaptive increasingly rare Markov chain Monte Carlo
Julian Hofstadler, Krzysztof Latuszynski, Gareth O. Roberts +1
We consider adaptive increasingly rare Markov chain Monte Carlo (MCMC) algorithms, which are adaptive MCMC methods, where the adaptation concerning the "past'' happens less and les…