On the normal approximation for random fields via martingale methods
From MaRDI portal
Publication:1743345
DOI10.1016/j.spa.2017.07.012zbMath1390.60091arXiv1702.01143OpenAlexW2618327207MaRDI QIDQ1743345
Publication date: 13 April 2018
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.01143
Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Generalizations of martingales (60G48)
Related Items
Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields, Functional central limit theorem via nonstationary projective conditions, On the quenched central limit theorem for stationary random fields under projective criteria, Central limit theorem for Fourier transform and periodogram of random fields, On limit theorems for fields of martingale differences, Martingale approximations for random fields, Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation, Randomized multivariate central limit theorems for ergodic homogeneous random fields, On the central limit theorem for stationary random fields under \({\mathbb{L}^1}\)-projective condition, Quenched invariance principles for orthomartingale-like sequences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A functional CLT for fields of commuting transformations via martingale approximation
- An invariance principle for stationary random fields under Hannan's condition
- A new maximal inequality and invariance principle for stationary sequences
- Central limit theorems for additive functionals of Markov chains.
- A central limit theorem for non-stationary strongly mixing random fields
- On martingale approximations and the quenched weak invariance principle
- Martingale-coboundary representation for a class of random fields
- A new condition for the invariance principle for stationary random fields
- Remarks on the functional central limit theorem for martingales
- A central limit theorem for stationary random fields
- A central limit theorem for stationary random fields
- A central limit theorem for fields of martingale differences
