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arXiv · 2104.05054

Concentration Inequalities for Ultra Log-Concave Distributions

Heshan Aravinda·Arnaud Marsiglietti·James Melbourne
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Abstract

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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Heshan Aravinda, Arnaud Marsiglietti, James Melbourne. 2021-04-11. Concentration Inequalities for Ultra Log-Concave Distributions. https://arxiv.org/abs/2104.05054

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