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We study sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order $d-1$ for any $d \in \mathbb{N}$.
Hoeffding, W.: A class of statistics with asymptotically normal distribution
1948
Earlier work this paper cites.
Stein, E. M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces
1971
Earlier work this paper cites.
Götze, F., Hipp, C.: Asymptotic expansions in the central limit theorem under moment conditions
1978
Earlier work this paper cites.
Efron, B., Stein, C.: The jackknife estimate of variance
1981
Earlier work this paper cites.
Milman, V. D.; Schechtman, Gideon Asymptotic theory of finite-dimensional normed spaces. With an appendix by M. Gromov. Lecture Notes in Mathematics, 1200. Springer-Verlag, Berlin, 1986. viii+156 pp
1986
Earlier work this paper cites.
Mueller, C. E., Weissler, F. B.: Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n n -sphere
1992
Earlier work this paper cites.
Arcones, M. A., Giné, E.: Limit theorems for U U -processes
1993
Earlier work this paper cites.
Aida, S., Stroock, D.: Moment estimates derived from Poincaré and logarithmic Sobolev inequalities
1994
Earlier work this paper cites.
Talagrand, M. Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math. No. 81 (1995), 73–205
1995
Earlier work this paper cites.
Ledoux, M.: On Talagrand’s deviation inequalities for product measures
1996
Cited alongside, same era.
Houdré, C.: The iterated jackknife estimate of variance
1997
Cited alongside, same era.
de la Peña, V., Giné, E.: Decoupling. From Dependence to Independence
1999
Cited alongside, same era.
Ledoux, M.: Concentration of measure and logarithmic Sobolev inequalities. Séminaire de Probabilités XXXIII
1999
Cited alongside, same era.
Latala, R.; Oleszkiewicz, K.: Between Sobolev and Poincaré
2000
Cited alongside, same era.
Ledoux, M.: The Concentration of Measure Phenomenon
2001
Cited alongside, same era.
Klartag, B.: A Berry–Esseen type inequality for convex bodies with an unconditional basis
2009
Later among the works it cites.
Klartag, B., Sodin, S.: Variations on the Berry–Esseen theorem
2012
Later among the works it cites.
Boucheron, S., Lugosi, G., Massart, P.: Concentration Inequalities. A Nonasymptotic Theory of Independence
2013
Later among the works it cites.
Major, P.: On the estimation of multiple random integrals and U U -statistics
2013
Later among the works it cites.
Wolff, P.: On some Gaussian concentration inequality for non-Lipschitz functions
2013
Later among the works it cites.
Adamczak, R., Wolff, P.: Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order
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Cordero-Erausquin, D., Fradelizi, M., Maurey, B.: The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
2004
Cited alongside, same era.
Boucheron, S., Bousquet, O., Lugosi, G., Massart, P.: Moment inequalities for functions of independent random variables
2005
Cited alongside, same era.
Adamczak, R.: Moment inequalities for U U -statistics
2006
Cited alongside, same era.
Götze, F., Sambale, H.: Second order concentration via logarithmic Sobolev inequalities
Cited in the paper.
Cited in the paper.
2015
Later among the works it cites.
Joly, E., Lugosi, G.: Robust estimation of U U -statistics
2016
Later among the works it cites.
Bobkov, S. G., Chistyakov, G. P., Götze, F.: Second Order Concentration on the Sphere
2017
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