Conditions for equivalence between Mallows distance and convergence to stable laws
Convergence in Mallows distance is of particular interest when heavy-tailed distributions are considered. For \(1 < \alpha < 2\), it constitutes an alternative technique to derive central-limit-type theorems for non-Gaussian \(\alpha\)-stable laws. In this note, the authors further explore the connection between Mallows distance and convergence in distribution. Conditions for their equivalence are presented.
scientific article; zbMATH DE number 6006163