Conditions for equivalence between Mallows distance and convergence to stable laws

DOI10.1007/S10474-011-0101-7zbMath1265.60014OpenAlexW2093546287MaRDI QIDQ663044

Débora B. Ferreira, Chang Chung Yu Dorea

Publication date: 13 February 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0101-7

zbMATH Keywords

convergence in distributionstable lawsMallows distance

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)

Related Items (4)

Mallows Distance Convergence for Extremes: Regeneration Approach ⋮ Inference for Empirical Wasserstein Distances on Finite Spaces ⋮ Convergence to Fréchet distribution via Mallows distance ⋮ Weighted similarity tests for location-scale families of stable distributions

Cites Work

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• A note on the Lindeberg condition for convergence to stable laws in Mallows distance
• Central limit theorem and convergence to stable laws in Mallows distance
• On the rate of convergence to a stable limit law. II
• Inequalities for distributions with given marginals
• On the invariance principle for sums of independent identically distributed random variables
• A Note on Asymptotic Joint Normality

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