Geodesic
Coupling-metrics for sample measures
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 189-196

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A class of metrics on the space of sample distributions is investigated. The distance between sample measures is considered as a Banach norm of the difference of ordered samples. 
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     author = {V. N. Sudakov and A. V. Sudakov},
     title = {Coupling-metrics for sample measures},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {189--196},
     publisher = {mathdoc},
     volume = {341},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a13/}
}
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V. N. Sudakov; A. V. Sudakov. Coupling-metrics for sample measures. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 11, Tome 341 (2007), pp. 189-196. http://geodesic.mathdoc.fr/item/ZNSL_2007_341_a13/