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A Gaussian correlation inequality for certain bodies in \(R^ n\). (English) Zbl 0451.60018


MSC:

60E05 Probability distributions: general theory
60D05 Geometric probability and stochastic geometry

References:

[1] Dudley, R.M.: Gaussian random processes, by I.A. Ibragimov, Yu. A. Rozanov: Book review. Bull. Am. Math. Soc.2, 373-378 (1980) · doi:10.1090/S0273-0979-1980-14768-0
[2] Pitt, L.D.: A Gaussian correlation inequality for symmetric convex sets. Ann. Probability5, 470-474 (1977) · Zbl 0359.60018 · doi:10.1214/aop/1176995808
[3] Sarvas, J.: Symmetrization of condensers inn-space. Ann. Acad. Sci. Fenn. Al522, 1-44 (1972) · Zbl 0245.30013
[4] Tong, Y.L.: Probability inequalities in multivariate distributions. New York, London, Toronic-Sydney, San Francisco: Academic Press 1980 · Zbl 0455.60003
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