Concentration Inequalities for the Empirical Distribution

Distributions in Statistics: Continuous Univariate Distributions

N.L. Johnson and S. Kotz · 1970

Earlier work this paper cites.

Negative association of random variables with applications

Kumar Joag-Dev and Frank Proschan · 1983

Earlier work this paper cites.

Sanov property, generalized I-projection and a conditional limit theorem

Imre Csiszár · 1984

Earlier work this paper cites.

Boundary crossing problems for sample means

Tze Leung Lai · 1988

Earlier work this paper cites.

The tight constant in the Dvoretzky-Kiefer-Wolfowitz inequality

Pascal Massart · 1990

Earlier work this paper cites.

Integral probability metrics and their generating classes of functions

Alfred Müller · 1997

Earlier work this paper cites.

The method of types

Imre Csiszár · 1998

Earlier work this paper cites.

Real Analysis

N.L. Carothers · 2000

Cited alongside, same era.

Asymptotic statistics

Aad W Van der Vaart · 2000

Cited alongside, same era.

Estimation of entropy and mutual information

Liam Paninski · 2003

Cited alongside, same era.

Inequalities for the L 1 {L}_{1} deviation of the empirical distribution

Tsachy Weissman, Erik Ordentlich, Gadiel Seroussi, Sergio Verdu, and Marcelo J Weinberger · 2003

Cited alongside, same era.

Bernstein polynomials and learning theory

Dietrich Braess and Thomas Sauer · 2004

Cited alongside, same era.

LDP for Finite Dimensional Spaces

Amir Dembo and Ofer Zeitouni · 2010

Cited alongside, same era.

Elements of information theory

Thomas M Cover and Joy A Thomas · 2012

On the concentration of the missing mass

Daniel Berend, Aryeh Kontorovich, et al · 2013

Later among the works it cites.

Concentration of measure inequalities in information theory, communications, and coding

Maxim Raginsky, Igal Sason, et al · 2013

Later among the works it cites.

Upper and lower bounds for stochastic processes: modern methods and classical problems

Michel Talagrand · 2014

Later among the works it cites.

On the uniform convergence of relative frequencies of events to their probabilities

Vladimir N Vapnik and A Ya Chervonenkis · 2015

Later among the works it cites.

Maximum likelihood estimation of functionals of discrete distributions

Jiantao Jiao, Kartik Venkat, Yanjun Han, and Tsachy Weissman · 2017

Later among the works it cites.

Boundary crossing probabilities for general exponential families

O-A Maillard · 2018