Augmented truncation approximations to the solution of Poisson’s equation for Markov chains
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DOI: 10.1016/j.amc.2021.126610
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References listed on IDEAS
- Glynn, Peter W. & Ormoneit, Dirk, 2002. "Hoeffding's inequality for uniformly ergodic Markov chains," Statistics & Probability Letters, Elsevier, vol. 56(2), pages 143-146, January.
- Glynn, Peter W. & Whitt, Ward, 2002. "Necessary conditions in limit theorems for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 199-209, April.
- Gibson, Diana & Seneta, E., 1987. "Monotone infinite stochastic matrices and their augmented truncations," Stochastic Processes and their Applications, Elsevier, vol. 24(2), pages 287-292, May.
- Jiang, Shuxia & Liu, Yuanyuan & Yao, Shuai, 2014. "Poisson’s equation for discrete-time single-birth processes," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 78-83.
- Choi, Michael C.H. & Li, Evelyn, 2019. "A Hoeffding’s inequality for uniformly ergodic diffusion process," Statistics & Probability Letters, Elsevier, vol. 150(C), pages 23-28.
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Keywords
Markov chains; Truncation approximation; Poisson’s equation; Central limit theorem; Single-birth processes; Single-death processes;All these keywords.
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