Concentration inequalities for functionals of Poisson cylinder processes

DOI10.1214/20-EJP529zbMath1469.60053arXiv1908.02112MaRDI QIDQ2024515

Carina Betken, Anastas Baci, Anna Gusakova, Christoph Thäle

Publication date: 4 May 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02112

zbMATH Keywords

stochastic geometryintrinsic volumeBoolean modelconcentration inequalitycylindrical integral geometryPoisson cylinder process

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Large deviations (60F10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (3)

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities

Cites Work

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