Minimax Grid Matching and Empirical Measures

P. W. Shor; J. E. Yukich

doi:10.1214/aop/1176990347

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Home > Journals > Ann. Probab. > Volume 19 > Issue 3 > Article

July, 1991 Minimax Grid Matching and Empirical Measures

P. W. Shor, J. E. Yukich

Ann. Probab. 19(3): 1338-1348 (July, 1991). DOI: 10.1214/aop/1176990347

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Abstract

In this article we solve the minimax grid matching problem in dimensions greater than two. As a by-product, we settle a long-open problem involving the Glivenko-Cantelli convergence of empirical measures.

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P. W. Shor. J. E. Yukich. "Minimax Grid Matching and Empirical Measures." Ann. Probab. 19 (3) 1338 - 1348, July, 1991. https://doi.org/10.1214/aop/1176990347