Asymptotic analysis of the optimal cost in some transportation problems with random locations

DOI10.1016/j.spa.2011.08.009zbMath1257.90064OpenAlexW2083888814MaRDI QIDQ655327

Giovanni Luca Torrisi

Publication date: 4 January 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2011.08.009

zbMATH Keywords

central limit theoremcalculus of variationslarge deviationsmoderate deviationsmatching problemoptimal transportMonge-Kantorovich problem

Mathematics Subject Classification ID

Stochastic programming (90C15)

Cites Work

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• Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities
• Quantitative concentration inequalities for empirical measures on non-compact spaces
• On optimal matchings
• Small tails for the supremum of a Gaussian process
• Some deviation inequalities
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Large deviations, moderate deviations and LIL for empirical processes
• Bracketing smooth functions
• Central limit theorems for the Wasserstein distance between the empirical and the true distributions
• A large deviation approach to some transportation cost inequalities
• Uniform Central Limit Theorems
• Matching Theorems and Empirical Discrepancy Computations using Majorizing Measures
• A large deviations heuristic made precise
• Transport Inequalities. A Survey
• The Speed of Mean Glivenko-Cantelli Convergence
• Matchings and the variance of Lipschitz functions
• Optimal Transport