Unbiased Time-Average Estimators for Markov Chains
References
- [1] (2018) Unbiased Monte Carlo: Posterior estimation for intractable/infinite-dimensional models. Bernoulli 24(3):1726–1786.Crossref, Google Scholar
- [2] (2013) Steady-state simulation with replication-dependent initial transients: Analysis and examples. INFORMS J. Comput. 25(1):177–191.Link, Google Scholar
- [3] (2007) Stochastic Simulation: Algorithms and Analysis, vol. 57 (Springer Science & Business Media, New York).Crossref, Google Scholar
- [4] (2015) Robust queueing theory. Oper. Res. 63(3):676–700.Link, Google Scholar
- [5] (2017) On Markov chain Monte Carlo methods for tall data. J. Machine Learn. Res. 18(1):1515–1557.Google Scholar
- [6] (2021) On stochastic gradient Langevin dynamics with dependent data streams in the logconcave case. Bernoulli 27(1):1–33.Crossref, Google Scholar
- [7] (2021) Unbiased inference for discretely observed hidden Markov model diffusions. SIAM/ASA J. Uncertainty Quantification 9(2):763–787.Crossref, Google Scholar
- [8] (2016) A practical volume algorithm. Math. Programming Comput. 8(2):133–160.Crossref, Google Scholar
- [9] (2020) Optimal unbiased estimation for expected cumulative discounted cost. Eur. J. Oper. Res. 286(2):604–618.Crossref, Google Scholar
- [10] (2009) The Markov chain Monte Carlo revolution. Bull. Amer. Math. Soc. 46(2):179–205.Crossref, Google Scholar
- [11] (1991) Geometric bounds for eigenvalues of Markov chains. Ann. Appl. Probab. 1(1):36–61.Crossref, Google Scholar
- [12] (2008) Multilevel Monte Carlo path simulation. Oper. Res. 56(3):607–617.Link, Google Scholar
- [13] (2015) Multilevel Monte Carlo methods. Acta Numerica 24:259–328.Crossref, Google Scholar
- [14] (2004) Monte Carlo Methods in Financial Engineering (Springer, New York).Crossref, Google Scholar
- [15] (2014) Exact estimation for Markov chain equilibrium expectations. J. Appl. Probab. 51(A):377–389.Crossref, Google Scholar
- [16] (1992) The asymptotic efficiency of simulation estimators. Oper. Res. 40(3):505–520.Link, Google Scholar
- [17] (2022) Geometrically convergent simulation of the extrema of Lévy processes. Math. Oper. Res. 47(2):1141–1168.Link, Google Scholar
- [18] (2014) Options, Futures and Other Derivatives, 9th ed. (Prentice-Hall, Upper Saddle River, NJ).Google Scholar
- [19] (2015) On nonnegative unbiased estimators. Ann. Statist. 43(2):769–784.Crossref, Google Scholar
- [20] (2020) Unbiased Markov chain Monte Carlo methods with couplings. J. Roy. Statist. Soc. Ser. B Statist. Methodology 82(3):543–600.Crossref, Google Scholar
- [21] (2021) Unbiased estimation of the gradient of the log-likelihood in inverse problems. Statist. Comput. 31(3):1–18.Crossref, Google Scholar
- [22] (2019) Efficient simulation of high dimensional Gaussian vectors. Math. Oper. Res. 44(1):58–73.Abstract, Google Scholar
- [23] (2020) General multilevel Monte Carlo methods for pricing discretely monitored Asian options. Eur. J. Oper. Res. 287(2):739–748.Crossref, Google Scholar
- [24] (2020) Randomized dimension reduction for Monte Carlo simulations. Management Sci. 66(3):1421–1439.Link, Google Scholar
- [25] (2022) On the effective dimension and multilevel Monte Carlo. Oper. Res. Lett. 50(4):415–421.Crossref, Google Scholar
- [26] (2011) A general method for debiasing a Monte Carlo estimator. Monte Carlo Methods Appl. 17(4):301–315.Crossref, Google Scholar
- [27] (2020) Unbiased Markov chain Monte Carlo for intractable target distributions. Electronic J. Statist. 14(2):2842–2891.Crossref, Google Scholar
- [28] (2015) Unbiased estimation with square root convergence for SDE models. Oper. Res. 63(5):1026–1043.Link, Google Scholar
- [29] (1992) Improved bounds for mixing rates of Markov chains and multicommodity flow. Combinatorics Probab. Comput. 1(4):351–370.Crossref, Google Scholar
- [30] (1994) Markov chains for exploring posterior distributions. Ann. Statist. 22(4):1701–1728.Crossref, Google Scholar
- [31] (2018) Unbiased estimators and multilevel Monte Carlo. Oper. Res. 66(2):448–462.Link, Google Scholar
- [32] (1991) The efficiency of one long run vs. independent replications in steady-state simulation. Management Sci. 37(6):645–666.Link, Google Scholar
- [33] (2019) Time-varying robust queueing. Oper. Res. 67(6):1766–1782.Link, Google Scholar

