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February, 1974 Nearest Random Variables with Given Distributions
Geza Schay
Ann. Probab. 2(1): 163-166 (February, 1974). DOI: 10.1214/aop/1176996763

Abstract

A new proof, based on the duality theorem of linear programming, is given of a theorem of V. Strassen, which states essentially that the minimum distance between random variables with given distributions equals the Prokhorov distance of their distributions.

Citation

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Geza Schay. "Nearest Random Variables with Given Distributions." Ann. Probab. 2 (1) 163 - 166, February, 1974. https://doi.org/10.1214/aop/1176996763

Information

Published: February, 1974
First available in Project Euclid: 19 April 2007

zbMATH: 0292.60011
MathSciNet: MR353396
Digital Object Identifier: 10.1214/aop/1176996763

Subjects:
Primary: 60B10
Secondary: 60B99

Keywords: duality theorem of linear programming , Ky Fan distance , minimum distance between random variables , Prokhorov distance

Rights: Copyright © 1974 Institute of Mathematical Statistics

Vol.2 • No. 1 • February, 1974
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