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A note on quadratic transportation and divergence inequality

Ying Ding

Statistics & Probability Letters, 2015, vol. 100, issue C, 115-123

Abstract: In this paper, we study the quadratic transportation and divergence inequality, which is the generalization of Talagrand’s transportation inequality. We obtain its tensorization property, prove it is implied by Poincaré inequality, and give a criterion for it.

Keywords: Quadratic transportation and divergence inequality; Tensorization; Poincaré inequality (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.02.009

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