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arXiv · 1603.00432

Deviation inequalities for Banach space valued martingales differences sequences and random field

Davide Giraudo
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Abstract

We establish deviation inequalities for the maxima of partial sums of a martingale differences sequence, and of a strictly stationary orthomartingale random field. These inequalities can be used to establish complete convergence of normalized maxima of partial sums.

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Davide Giraudo. 2016-03-01. Deviation inequalities for Banach space valued martingales differences sequences and random field. https://doi.org/10.1051/ps/2019016

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