Deviation inequality for Banach-valued orthomartingales

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.

References in corpus (2)

• Deviation inequalities for Banach space valued martingales differences sequences and random field
• Bound on the maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation