Optimal matching and empirical measures
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- by J. E. Yukich PDF
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Abstract:
Using results from optimal matching, we find the exact order of convergence for $\beta ({P_n},P)$ and $\rho ({P_n},P)$, where $\beta$ denotes the dual bounded Lipschitz metric, $\rho$ the Prokhorov metric and ${P_n}$ the $n$th empirical measure associated to $P$, the uniform measure on the unit square. The results solve a long-open problem in empirical measures.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 1051-1059
- MSC: Primary 60B10; Secondary 60F05, 60F15
- DOI: https://doi.org/10.1090/S0002-9939-1989-1000171-8
- MathSciNet review: 1000171