Deviation inequality for Banach-valued orthomartingales
From MaRDI portal
Publication:6596204
DOI10.1016/j.spa.2024.104391MaRDI QIDQ6596204
Publication date: 2 September 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
law of large numbersrandom fieldBanach spaceregression modeldeviation inequalitymartingale differenceorthomartingalecompletely commuting filtrationmulti-index martingale
Random fields (60G60) Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Generalizations of martingales (60G48)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems for weighted Bernoulli random fields under Hannan's condition
- Markov type and threshold embeddings
- Convergence rates in the SLLN for some classes of dependent random fields
- Quenched invariance principles for orthomartingale-like sequences
- Nonparametric regression estimation for random fields in a fixed-design
- Moment inequalities for sums of dependent random variables under projective conditions
- Martingale inequalities in rearrangement invariant function spaces
- Ordering of distributions and rearrangement of functions
- Distribution function inequalities for martingales
- Stochastic integrals in the plane
- Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
- On limit theorems for fields of martingale differences
- Asymptotic theory of weakly dependent stochastic processes
- Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation
- Deviation inequalities for martingales with applications
- Exponential inequalities for martingales with applications
- Strong laws of large numbers for \(r\)-dimensional arrays of random variables
- A new condition for the invariance principle for stationary random fields
- Convergence Rates in the Law of Large Numbers for Banach-Valued Dependent Variables
- An Exponential Inequality for $U$-Statistics of I.I.D. Data
- Probability Inequalities for Sums of Bounded Random Variables
- Deviation inequalities for Banach space valued martingales differences sequences and random fields
- On probability and moment inequalities for supermartingales and martingales
- 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
This page was built for publication: Deviation inequality for Banach-valued orthomartingales