20 citations · 88 across the 22 of their papers we have counts for
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An exponential inequality for -statistics of i.i.d. data
Davide Giraudo
We establish an exponential inequality for degenerated -statistics of order of i.i.d. data. This inequality gives a control of the tail of the maxima absolute values of the…
Large deviation inequalities for martingales in Banach spaces
Xiequan Fan, Davide Giraudo
Let be a martingale difference sequence in a smooth Banach space. Let be the partial sums of $(X_i, \mathcal{F}_i)_{…
Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields
Davide Giraudo
We provide a sufficient condition for the bounded law of the iterated logarithms for strictly stationary random fields expressable as a functional of i.i.d. random fields when the…
Limit theorems for U-statistics of Bernoulli data
Davide Giraudo
In this paper, we consider U-statistics whose data is a strictly stationary sequence which can be expressed as a functional of an i.i.d. one. We establish a strong law of large num…