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A weak invariance principle for triangular arrays of independent random variables in some Besov spaces
Davide Giraudo, Sadillo Sharipov
Source abstract
We establish a Donsker-Prokhorov invariance principle in some Besov spaces. Specifically, we show that polygonal line processes associated with partial sum processes of a triangular array of row-wise independent random variables converge in distribution to Brownian motion, extending earlier results in the literature.
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