20 citations · 88 across the 22 of their papers we have counts for
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math.ST2017★ 1 cited
Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
Davide Giraudo
We prove moment inequalities for a class of functionals of i.i.d. random fields. We then derive rates in the central limit theorem for weighted sums of such randoms fields via an a…
math.PR2017
Weak invariance principle in Besov spaces for stationary martingale differences
Davide Giraudo, Alfredas Rackauskas
The classical Donsker weak invariance principle is extended to a Besov spaces framework. Polygonal line processes build from partial sums of stationary martingale differences as we…
math.PR2017★ 20 cited
Invariance principle via orthomartingale approximation
Davide Giraudo
We obtain a necessary and sufficient condition for the orthomartingale-coboundary decomposition. We establish a sufficient condition for the approximation of the partial sums of a…