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20092023
most citedNonasymptotic bounds on the estimation error of MCMC algorithms

34 citations · 76 across the 11 of their papers we have counts for

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6 papers · 1 filter

stat.ME2014★ 1 cited

Asymptotics of Monte Carlo maximum likelihood estimators

Blazej Miasojedow, Wojciech Niemiro, Jan Palczewski +1

We describe Monte Carlo approximation to the maximum likelihood estimator in models with intractable norming constants and explanatory variables. We consider both sources of random…

stat.ME2014★ 1 cited

Adaptive Monte Carlo Maximum Likelihood

Blazej Miasojedow, Wojciech Niemiro, Jan Palczewski +1

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, whic…

stat.ME2014★ 4 cited

Metropolis-type algorithms for Continuous Time Bayesian Networks

Blazej Miasojedow, Wojciech Niemiro, John Noble +1

We present a Metropolis-Hastings Markov chain Monte Carlo (MCMC) algorithm for detecting hidden variables in a continuous time Bayesian network (CTBN), which uses reversible jumps…

stat.ME2011★ 34 cited

Nonasymptotic bounds on the estimation error of MCMC algorithms

Krzysztof Łatuszyński, Błażej Miasojedow, Wojciech Niemiro

We address the problem of upper bounding the mean square error of MCMC estimators. Our analysis is nonasymptotic. We first establish a general result valid for essentially all ergo…

stat.ME2009★ 26 cited

Rigorous confidence bounds for MCMC under a geometric drift condition

Krzysztof Latuszynski, Wojciech Niemiro

We assume a drift condition towards a small set and bound the mean square error of estimators obtained by taking averages along a single trajectory of a Markov chain Monte Carlo al…

stat.ME2009★ 5 cited

Nonasymptotic bounds on the estimation error for regenerative MCMC algorithms

Krzysztof Latuszynski, Blazej Miasojedow, Wojciech Niemiro

MCMC methods are used in Bayesian statistics not only to sample from posterior distributions but also to estimate expectations. Underlying functions are most often defined on a con…