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A note on quadratic transportation and divergence inequality

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  • Ding, Ying

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.

Suggested Citation

  • Ding, Ying, 2015. "A note on quadratic transportation and divergence inequality," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 115-123.
    • Handle: RePEc:eee:stapro:v:100:y:2015:i:c:p:115-123
    DOI: 10.1016/j.spl.2015.02.009
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    References listed on IDEAS

    as
    1. Ding, Ying, 2014. "Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 77-85.
    2. Ding, Ying & Zhang, Xinsheng, 2011. "A new kind of modified transportation cost inequalities and polynomial concentration inequalities," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1524-1534, October.
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