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Slepian and Sudakov-Fernique type inequalities, which compare expectations of maxima of Gaussian random vectors under certain restrictions on the covariance matrices, play an important role in probability theory, especially in empirical process and extreme value theories.
Slepian, D. (1962). The one-sided barrier problem for Gaussian noise. Bell Syst. Tech. J
1962
Earlier work this paper cites.
Ylvisaker, D. (1965). The expected number of zeros of a stationary Gaussian process. Ann. Math. Statist
1965
Earlier work this paper cites.
Ylvisaker, D. (1968). A note on the absence of tangencies in Gaussian sample paths. Ann. Math. Statist
1968
Earlier work this paper cites.
Borell, C. (1975). The Brunn-Minkowski inequality in Gauss space. Invent. Math
1975
Earlier work this paper cites.
Sudakov, V.N. and Tsirel’son, B.S. (1978). Extremal properties of half-spaces for spherically invariant measures. J. Soviet Math
1978
Earlier work this paper cites.
Stein, C. (1981). Estimation of the mean of a multivariate normal distribution. Ann. Statist
1981
Earlier work this paper cites.
Leadbetter, M., Lindgren, G. and Rootzén, H. (1983). Extremes and Related Properties of Random Sequences and Processes
1983
Earlier work this paper cites.
Gordon, Y. (1985). Some inequalities for Gaussian processes and applications. Israel J. Math
1985
Earlier work this paper cites.
Ledoux, M. and Talagrand, M. (1991). Probability in Banach Spaces
1991
Earlier work this paper cites.
Ball, K. (1993). The reverse isoperimetric problem for Gaussian measure. Discrete Comput. Geom
1993
Earlier work this paper cites.
van der Vaart, A.W. and Wellner, J.A. (1996). Weak Convergence and Empirical Processes: With Applications to Statistics
1996
Cited alongside, same era.
Dudley, R.M. (1999). Uniform Central Limit Theorems
1999
Cited alongside, same era.
Ledoux, M. (2001). Concentration of Measure Phenomenon
2001
Cited alongside, same era.
Li, W. and Shao, Q.-M. (2001). Gaussian processes: inequalities, small ball probabilities and applications. In: Handbook of Statistics Vol. 19
2001
Cited alongside, same era.
Li, W. and Shao, Q.-M. (2002). A normal comparison inequality and applications. Probab. Theory Relat. Fields
2002
Cited alongside, same era.
Bentkus, V. (2003). On the dependence of the Berry-Esseen bound on dimension. J. Statist. Plann. Infer
Candes, E. and Tao, T. (2007). The Dantzig selector: statistical estimation when p p is much larger than n n . Ann. Statist
2007
Later among the works it cites.
Vershynin, R. and Rudelson, M. (2007). Anti-concentration inequalities. Conference Proceeding for Phenomena in High Dimensions, Samos, Greece
2007
Later among the works it cites.
Klivans, A.R., O’Donnell, R., and Servedio, R.A. (2008). Learning geometric concepts via Gaussian surface area. In: Proc. 49th IEEE Symp. on Foundations of Comp. Science (FOCS)
2008
Later among the works it cites.
Rudelson, M. and Vershynin, R. (2008). The Littlewood-Offord problem and invertibility of random matrices. Adv. Math
2008
Later among the works it cites.
Nourdin, I. and Viens, F.G. (2009). Density formula and concentration inequalities with Malliavin calculus. Electron. J. Probab
2009
Later among the works it cites.
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2003
Cited alongside, same era.
Nazarov, F. (2003). On the maximal perimeter of a convex set in ℝ n \mathbb{R}^{n} with respect to a Gaussian measure. In: Geometric Aspects of Functional Analysis
2003
Cited alongside, same era.
Talagrand, M. (2003). Spin Glasses: A Challenge for Mathematicians
2003
Cited alongside, same era.
Chatterjee, S. (2005). An error bound in the Sudakov-Fernique inequality. arXiv:math/0510424
2005
Cited alongside, same era.
Adler, R. and Taylor, J. (2007). Random Fields and Geometry
2007
Cited alongside, same era.
Chernozhukov, V., Chetverikov, D. and Kato, K. (2013a). Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors. Ann. Statist
Cited in the paper.
Chernozhukov, V., Chetverikov, D. and Kato, K. (2013b). Anti-concentration and honest, adaptive confidence bands. arXiv:1303:7152
Cited in the paper.
Rudelson, M. and Vershynin, R. (2009). Smallest singular value of a random rectangular matrix. Commun. Pure Appl. Anal
2009
Later among the works it cites.
Yan, L. (2009). Comparison inequalities for one sided normal probabilities. J. Theoret. Probab
2009
Later among the works it cites.
Bühlmann, P. and van de Geer, S. (2011). Statistics for High-Dimensional Data: Methods,Theory and Applications
2011
Later among the works it cites.
Chen, L., Goldstein, L. and Shao, Q.-M. (2011). Normal Approximation by Stein’s Method
2011
Later among the works it cites.
Panchenko, D. (2013). The Sherrington-Kirkpatrick Model
2013
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