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math.PR2021
The Marcinkiewicz-Zygmund law of large numbers for exchangeable arrays
Laurent Davezies, Xavier D'Haultfoeuille, Yannick Guyonvarch
We show a Marcinkiewicz-Zygmund law of large numbers for jointly, dissociated exchangeable arrays, in () and almost surely. Then, we obtain a law of iterated loga…
math.PR2021
Explicit non-asymptotic bounds for the distance to the first-order Edgeworth expansion
Alexis Derumigny, Lucas Girard, Yannick Guyonvarch
In this article, we obtain explicit bounds on the uniform distance between the cumulative distribution function of a standardized sum of independent centered random varia…