Error bounds of MCMC for functions with unbounded stationary variance
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Publication:2344860
DOI10.1016/j.spl.2014.07.035zbMath1329.60265arXiv1312.4344OpenAlexW2120508071MaRDI QIDQ2344860
Nikolaus Schweizer, Daniel Rudolf
Publication date: 18 May 2015
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.4344
Computational methods in Markov chains (60J22) Monte Carlo methods (65C05) Discrete-time Markov processes on general state spaces (60J05) Numerical analysis or methods applied to Markov chains (65C40)
Related Items (6)
Perturbation bounds and degree of imprecision for uniquely convergent imprecise Markov chains ⋮ Dimension‐independent Markov chain Monte Carlo on the sphere ⋮ Solvable integration problems and optimal sample size selection ⋮ Optimal confidence for Monte Carlo integration of smooth functions ⋮ A Strong Law of Large Numbers for Scrambled Net Integration ⋮ Computation of Expectations by Markov Chain Monte Carlo Methods
Cites Work
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- Curvature, concentration and error estimates for Markov chain Monte Carlo
- Rigorous confidence bounds for MCMC under a geometric drift condition
- A new proof of convergence of MCMC via the ergodic theorem
- Markov chains and stochastic stability
- On the Markov chain central limit theorem
- Explicit error bounds for lazy reversible Markov chain Monte Carlo
- Deterministic and stochastic error bounds in numerical analysis
- On the computational complexity of MCMC-based estimators in large samples
- Nonasymptotic bounds on the estimation error of MCMC algorithms
- Explicit error bounds for Markov chain Monte Carlo
- Limit theorems for some functionals with heavy tails of a discrete time Markov chain
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