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Comparison inequalities for suprema of bounded empirical processes

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Publication:1663743
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DOI10.1214/18-ECP137zbMath1410.60029OpenAlexW2807350953MaRDI QIDQ1663743

Antoine Marchina

Publication date: 23 August 2018

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

Full work available at URL: https://projecteuclid.org/euclid.ecp/1528358638


zbMATH Keywords

empirical processesgeneralized momentsconcentration inequalitiesmartingale method


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)


Related Items (2)

Comparison inequalities for suprema of bounded empirical processes ⋮ About the rate function in concentration inequalities for suprema of bounded empirical processes



Cites Work

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  • Convex cones of generalized multiply monotone functions and the dual cones
  • Comparison inequalities for suprema of bounded empirical processes
  • On Hoeffding's inequalities.
  • Weak convergence and empirical processes. With applications to statistics
  • On the Bennett-Hoeffding inequality
  • Probability Inequalities for Sums of Bounded Random Variables
  • Concentration inequalities for set-indexed empirical processes


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