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Deviation inequalities for Banach space valued martingales differences sequences and random field
Published 1 Mar 2016 in math.PR | (1603.00432v3)
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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