On Azuma-type inequalities for Banach space-valued martingales
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Publication:2135188
DOI10.1007/s10959-021-01086-5zbMath1487.60042arXiv1910.04447OpenAlexW3147320116MaRDI QIDQ2135188
Publication date: 4 May 2022
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04447
self-normalized sumsuniformly smooth Banach spacesAzuma inequalityconditionally symmetric martingales
Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42) Probabilistic methods in Banach space theory (46B09)
Cites Work
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- Markov type and threshold embeddings
- Probability in Banach spaces. Isoperimetry and processes
- User-friendly tail bounds for sums of random matrices
- Bounded double square functions
- A sharp good-\(\lambda\) inequality with an application to Riesz transforms
- Distribution function inequalities for martingales
- On tail probabilities for martingales
- Martingales with values in uniformly convex spaces
- A general class of exponential inequalities for martingales and ratios
- Optimum bounds for the distributions of martingales in Banach spaces
- Probability theory. A comprehensive course.
- Geometric properties of Banach spaces and nonlinear iterations
- Weighted sums of certain dependent random variables
- Some dimension-free features of vector-valued martingales
- Martingales in Banach Spaces
- Concentration of Measure Inequalities in Information Theory, Communications, and Coding
- On the Banach-Space-Valued Azuma Inequality and Small-Set Isoperimetry of Alon–Roichman Graphs
- Centering Sequences with Bounded Differences
- Concentration Inequalities and Martingale Inequalities: A Survey
- Strong converse for identification via quantum channels
- Probability Inequalities for Sums of Bounded Random Variables
- An Introduction to Matrix Concentration Inequalities