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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1987 Volume 158, Pages 167–168 (Mi znsl5387)

Monotonity of the mean distance for empirical Gaussian samples

V. N. Sudakov


Abstract: The monotonicity is proved of the mean distance in the sense of Kantorovich for two repeatedly independently obtained dependent Gaussian samples with respect to the natural order in the space of Gaussian centered measures in a finite-dimensional coordinate space.

UDC: 519.2



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