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math.PR2004★ 9 cited
Convergence of the empirical process in Mallows distance, with an application to bootstrap performance
Richard Samworth, Oliver Johnson
We study the rate of convergence of the Mallows distance between the empirical distribution of a sample and the underlying population. The surprising feature of our results is that…
math.PR2004
Central Limit Theorem and convergence to stable laws in Mallows distance
Oliver Johnson, Richard Samworth
We give a new proof of the classical Central Limit Theorem, in the Mallows (-Wasserstein) distance. Our proof is elementary in the sense that it does not require complex analy…