On the quenched functional central limit theorem for stationary random fields under projective criteria
DOI10.30757/ALEA.V21-47MaRDI QIDQ6634804
Publication date: 8 November 2024
Published in: ALEA. Latin American Journal of Probability and Mathematical Statistics (Search for Journal in Brave)
functional central limit theoremstationary random fieldsortho-martingale approximationquenched limit theoremprojective condition
Random fields (60G60) Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Generalizations of martingales (60G48) Functional limit theorems; invariance principles (60F17)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Limit theorems for weighted Bernoulli random fields under Hannan's condition
- On the functional CLT for stationary Markov chains started at a point
- A quenched weak invariance principle
- A functional CLT for fields of commuting transformations via martingale approximation
- An invariance principle for stationary random fields under Hannan's condition
- Quenched invariance principles for orthomartingale-like sequences
- A conditional CLT which fails for ergodic components
- Ergodic theorems. With a supplement by Antoine Brunel
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- The logarithmic Sobolev inequality for discrete spin systems on a lattice
- Distribution function inequalities for martingales
- Martingale approximations for random fields
- On the quenched central limit theorem for stationary random fields under projective criteria
- Central limit theorem started at a point for stationary processes and additive functionals of reversible Markov chains
- Quenched central limit theorems for sums of stationary processes
- On martingale approximations and the quenched weak invariance principle
- On the weak invariance principle for non-adapted sequences under projective criteria
- Orthomartingale-coboundary decomposition for stationary random fields
- A quenched invariance principle for stationary processes
- Multiparameter Processes
- Invariance principle via orthomartingale approximation
- Martingale-coboundary representation for stationary random fields
- Quenched Invariance Principles via Martingale Approximation
- Nonlinear system theory: Another look at dependence
- On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter
- Central limit theorems for time series regression
- The central limit theorem for Markov chains with normal transition operators, started at a point
- A central limit theorem for fields of martingale differences
This page was built for publication: On the quenched functional central limit theorem for stationary random fields under projective criteria
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6634804)