Optimal transportation plans and convergence in distribution

DOI10.1006/jmva.1996.1627zbMath0894.60012OpenAlexW2078634394MaRDI QIDQ1369665

Juan Antonio Cuesta-Albertos, A. Tuero-Diaz, Carlos Matrán

Publication date: 30 August 1998

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1996.1627

zbMATH Keywords

Wasserstein distancesimulation techniquesconsistency of the empirical optimal transportation plansoptimal transportation plans

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Convergence of probability measures (60B10)

Related Items (11)

Distribution-free testing in linear and parametric regression ⋮ A fixed-point approach to barycenters in Wasserstein space ⋮ On the monotonicity of optimal transportation plans ⋮ Mass transportation and the consistency of the empirical optimal conditional locations ⋮ Ordinary Least Squares for Histogram Data Based on Wasserstein Distance ⋮ A numerical method for some stochastic differential equations with multiplicative noise ⋮ Fréchet means and Procrustes analysis in Wasserstein space ⋮ Functional, randomized and smoothed multivariate quantile regions ⋮ Uniqueness and approximate computation of optimal incomplete transportation plans ⋮ An algorithm to approximate the optimal expected inner product of two vectors with given marginals ⋮ Distribution and quantile functions, ranks and signs in dimension \(d\): a measure transportation approach

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