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A new kind of modified transportation cost inequalities and polynomial concentration inequalities

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  • Ding, Ying
  • Zhang, Xinsheng

Abstract

This paper introduces a new kind of modified transportation cost inequalities and presents some sufficient and necessary conditions for it. Using these conditions, this paper provides some applications of polynomial concentration inequalities to probability measures with no exponential moments. The tensorization property is also provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:10:p:1524-1534
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    Citations

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    Cited by:

    1. Ding, Ying & Zhang, Xinsheng & Fang, Longxiang, 2018. "Strong modified transportation cost inequalities on k-concave probability measures with heavy tails," Statistics & Probability Letters, Elsevier, vol. 142(C), pages 30-38.
    2. Ding, Ying, 2015. "A note on quadratic transportation and divergence inequality," Statistics & Probability Letters, Elsevier, vol. 100(C), pages 115-123.
    3. Ding, Ying, 2014. "Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 77-85.
    4. Zhou, Wei & Zhang, Cheng & Wang, Qiangqiang, 2018. "Concealment measurement and flow distribution of military supply transportation: A double-entropy model," European Journal of Operational Research, Elsevier, vol. 264(2), pages 570-581.

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