Quenched Invariance Principles for Orthomartingale-Like Sequences
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DOI: 10.1007/s10959-019-00914-z
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- Christophe Cuny & Magda Peligrad, 2012. "Central Limit Theorem Started at a Point for Stationary Processes and Additive Functionals of Reversible Markov Chains," Journal of Theoretical Probability, Springer, vol. 25(1), pages 171-188, March.
- Volný, Dalibor, 2019. "On limit theorems for fields of martingale differences," Stochastic Processes and their Applications, Elsevier, vol. 129(3), pages 841-859.
- L. Ouchti & D. Volný, 2008. "A Conditional CLT which Fails for Ergodic Components," Journal of Theoretical Probability, Springer, vol. 21(3), pages 687-703, September.
- Volný, Dalibor & Woodroofe, Michael, 2014. "Quenched central limit theorems for sums of stationary processes," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 161-167.
- Peligrad, Magda & Zhang, Na, 2018. "On the normal approximation for random fields via martingale methods," Stochastic Processes and their Applications, Elsevier, vol. 128(4), pages 1333-1346.
- Volný, Dalibor & Wang, Yizao, 2014. "An invariance principle for stationary random fields under Hannan’s condition," Stochastic Processes and their Applications, Elsevier, vol. 124(12), pages 4012-4029.
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Keywords
Random fields; Quenched central limit theorem; Theorems started at a point; Orthomartingales; Coboundary;All these keywords.
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