Uniform approximation of continuous couplings
Ugo Bindini, Tapio Rajala
TL;DR
This paper investigates how to uniformly approximate multivariate couplings with non-negative functions while ensuring the marginals match specified distributions, addressing a key problem in probability and analysis.
Contribution
It introduces a method for uniform approximation of continuous couplings that preserves marginal constraints, advancing the understanding of multivariate distribution approximation.
Findings
Established bounds for approximation accuracy
Provided constructive methods for coupling approximation
Demonstrated applicability to multivariate distribution problems
Abstract
We study the approximation of non-negative multi-variate couplings in the uniform norm while matching given single-variable marginal constraints.
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Taxonomy
Topicsadvanced mathematical theories · Point processes and geometric inequalities · Morphological variations and asymmetry