2 papers
math.PR2016
Approximate central limit theorems
Ben Berckmoes, Geert Molenberghs
We refine the classical Lindeberg-Feller central limit theorem by obtaining asymptotic bounds on the Kolmogorov distance, the Wasserstein distance, and the parametrized Prokhorov d…
math.PR2016
An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric
Ben Berckmoes, Tim Hellemans, Mark Sioen +1
After shortly reviewing the fundamentals of approach theory as introduced by R. Lowen in 1989, we show that this theory is intimately related with the well-known Wasserstein metric…