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Strong modified transportation cost inequalities on k-concave probability measures with heavy tails

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  • Ding, Ying
  • Zhang, Xinsheng
  • Fang, Longxiang

Abstract

In this paper, we study strong modified transportation cost inequalities for k-concave probability measures with heavy tails. We provide the polynomial-type concentration, dual representation, and tensorization properties for this kind of inequalities. And we provide integral sufficient conditions for k−concave measures (−1

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:142:y:2018:i:c:p:30-38
    DOI: 10.1016/j.spl.2018.07.002
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    References listed on IDEAS

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    1. 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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