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Let $\mu_N$ be the empirical measure associated to a $N$-sample of a given probability distribution $\mu$ on $\mathbb{R}^d$.
G. Bennett. Probability Inequalities for the Sum of Independent Random Variables. J. Amer. Statist. Assoc
1962
Earlier work this paper cites.
D.H. Fuk, S.V. and Nagaev. Probability inequalities for sums of independent random variables. Theory Probab. Appl
1971
Earlier work this paper cites.
R.M. Dudley. Central limit theorems for empirical measures. Ann. Probab
1978
Earlier work this paper cites.
M. Ajtai, J. Komlós, G. Tusnády. On optimal matchings, Combinatorica
1984
Earlier work this paper cites.
R.C. Bradley. A central limit theorem for stationary ρ \rho -mixing sequences with infinite variance. Ann. Prob
1988
Earlier work this paper cites.
M. Talagrand. Matching random samples in many dimensions. Ann. Appl. Probab.,
1992
Earlier work this paper cites.
J. Horowitz, R.L. Karandikar. Mean rates of convergence of empirical measures in the Wasserstein metric. J. Comput. Appl. Math
1994
Earlier work this paper cites.
M. Talagrand. The transportation cost from the uniform measure to the empirical measure in dimension ≥ 3 \geq 3 . Ann. Prob.,
1994
Earlier work this paper cites.
V. Dobrić, J. E. Yukich. Asymptotics for transportation cost in high dimensions. J. Theoret. Probab
1995
Earlier work this paper cites.
P. Doukhan. Mixing: properties and examples
1995
Earlier work this paper cites.
G. Roberts, J-S. Rosenthal. Shift-coupling and convergence rates of ergodic averages. Comm. Stat. Stoch. Models
1996
Earlier work this paper cites.
A. Van der Vaart, J.A. Wellner. Weak convergence of empirical processes
1996
Earlier work this paper cites.
S.T. Rachev, L. Rüschendorf. Mass transportation problems. Vol. I. and II
1998
Earlier work this paper cites.
A.A. Borovkov. Estimates for the distribution of sums and maxima of sums of random variables when the Cramér condition is not satisfied. Siberian Math. J
2000
Cited alongside, same era.
E. Rio. Théorie asymptotique des processus aléatoires faiblement dépendants
2000
Cited alongside, same era.
L. Devroye, G. Lugosi. Combinatorial methods in density estimation
2001
Cited alongside, same era.
M. Ledoux. The concentration of measure phenomenon
2001
Cited alongside, same era.
J-A. Carrillo, R. Mac Cann, C. Villani. Kinetic equilibration rates fro granular media and related equations: entropy dissipation and mass transportation. Rev. Mat. Iberoamericana
2003
Cited alongside, same era.
F. Malrieu. Convergence to equlibrium for granular media equations. Ann. Appl. Prob
R. Adamczak. A tail inequality for suprema of unbounded empirical processes with applications to Markov chains. Electron. J. Probab
2008
Later among the works it cites.
G. Biau, L. Devroye, G. Lugosi. On the performance of clustering in Hilbert spaces. IEEE Trans. Information Theory
2008
Later among the works it cites.
P. Cattiaux, A. Guillin, F. Malrieu. Probabilistic approach for granular media equations in the non uniformly convex case. Probab. Theory and Related Fields
2008
Later among the works it cites.
S. Dereich. Asymptotic formulae for coding problems and intermediate optimization problems: a review. In Trends in Stochastic Analysis
2009
Later among the works it cites.
T. Laloë. L 1 L_{1} -quantization and clustering in Banach spaces. Math. Meth. Stat
2009
Later among the works it cites.
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2003
Cited alongside, same era.
P. Massart. Concentration Inequalities and Model Selection: Ecole d’Été de Probabilités de Saint-Flour XXXIII. Springer
2003
Cited alongside, same era.
C. Villani, Topics in optimal transportation
2003
Cited alongside, same era.
S. Delattre, S. Graf, H. Luschgy, G. Pagès. Quantization of probability distributions under norm-based distortion measures. Stat. Decisions
2004
Cited alongside, same era.
H. Djellout, A. Guillin, L. Wu. Transportation Cost-information inequalities and applications ro random dynamical systems and diffusions. Ann. Prob
2004
Cited alongside, same era.
N. Gozlan. Integral criteria for transportation cost inequalities. Elec. Com. Prob
2006
Cited alongside, same era.
R.C. Bradly. Introduction to strong mixing conditions Vol 1,2,3
2007
Cited alongside, same era.
E. Boissard. Simple Bounds for the Convergence of Empirical and Occupation Measures in 1-Wasserstein Distance. Elect. Journ. Prob
2011
Later among the works it cites.
F. Merlevède, M. Peligrad, E. Rio. A Bernstein type inequality and moderate deviations for weakly dependent sequences. Probab. Theory and Related Fields
2011
Later among the works it cites.
G. Pagès, B. Wilbertz. Optimal Delaunay and Voronoi quantization schemes for pricing american style options. In Numerical methods in Finance,
2012
Later among the works it cites.
F. Barthe, C. Bordenave. Combinatorial optimization over two random point sets. Séminaire de Probabilités
2013
Closest in time.
S. Dereich, M. Scheutzow, R. Schottstedt, Constructive quantization: approximation by empirical measures. Ann. Inst. Henri Poincaré Probab. Stat
2013
Closest in time.
F. Merlevède, M. Peligrad. Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples. Ann. Prob
2013
Closest in time.
S. Mischler, C. Mouhot, Kac’s programm in kinetic theory, Invent. Math
2013
Closest in time.