Weak invariance principle in Besov spaces for stationary martingale differences

Published 26 Feb 2017 in math.PR | (1702.08043v1)

Abstract: 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 well independent and identically distributed random variables are considered. The results obtained are shown to be optimal.

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