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Concentration Inequalities for Ultra Log-Concave Distributions

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 نشر من قبل Arnaud Marsiglietti
 تاريخ النشر 2021
  مجال البحث
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We establish concentration inequalities in the class of ultra log-concave distributions. In particular, we show that ultra log-concave distributions satisfy Poisson concentration bounds. As an application, we derive concentration bounds for the intrinsic volumes of a convex body, which generalizes and improves a result of Lotz, McCoy, Nourdin, Peccati, and Tropp (2019).



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