English

Deviation inequality for Banach-valued orthomartingales

Probability 2024-08-27 v1 Statistics Theory Statistics Theory

Abstract

We show a deviation inequality inequalities for multi-indexed martingale We then provide applications to kernel regression for random fields and rates in the law of large numbers for orthomartingale difference random fields.

Cite

@article{arxiv.2212.14583,
  title  = {Deviation inequality for Banach-valued orthomartingales},
  author = {Davide Giraudo},
  journal= {arXiv preprint arXiv:2212.14583},
  year   = {2024}
}
R2 v1 2026-06-28T07:56:47.714Z