An exponential inequality for orthomartingale difference random fields and some applications
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Publication:6047213
DOI10.5802/ahl.172zbMath1530.60039arXiv2106.13128OpenAlexW4387253503MaRDI QIDQ6047213
Publication date: 9 October 2023
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13128
Random fields (60G60) Generalizations of martingales (60G48) Functional limit theorems; invariance principles (60F17)
Cites Work
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- A functional CLT for fields of commuting transformations via martingale approximation
- Holderian weak invariance principle for stationary mixing sequences
- Convergence rates in the SLLN for some classes of dependent random fields
- Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in a random environment
- Large deviation exponential inequalities for supermartingales
- Hölderian weak invariance principle under a Hannan type condition
- Recent advances in invariance principles for stationary sequences
- Ordering of distributions and rearrangement of functions
- On limit theorems for fields of martingale differences
- Martingale approximations for random fields
- Large deviations for martingales.
- Necessary and sufficient condition for the functional central limit theorem in Hölder spaces
- Decoupling inequalities for the tail probabilities of multivariate \(U\)- statistics
- Hölderian weak invariance principle under the Maxwell and Woodroofe condition
- On the quenched central limit theorem for stationary random fields under projective criteria
- A Hölderian functional central limit theorem for a multi-indexed summation process
- Exponential inequalities for martingales with applications
- A Combinatorial Lemma and Its Application to Probability Theory
- Exponential inequalities and functional central limit theorems for random fields
- Invariance principle via orthomartingale approximation
- An Exponential Inequality for $U$-Statistics of I.I.D. Data
- The Lindeberg-Levy Theorem for Martingales
- Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
- Central Limit Theorems in Hölder Topologies for Banach Space Valued Random Fields
- A Central Limit Theorem for a Class of Dependent Random Variables
- Complete Convergence and the Law of Large Numbers
- On a Theorem of Hsu and Robbins
- Deviation inequalities for Banach space valued martingales differences sequences and random fields
- An approach to complete convergence theorems for dependent random fields via application of Fuk-Nagaev inequality
- A central limit theorem for fields of martingale differences
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