Small tails for the supremum of a gaussian process
Annales de l'I.H.P. Probabilités et statistiques, Volume 24 (1988) no. 2, pp. 307-315.
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     author = {Talagrand, Michel},
     title = {Small tails for the supremum of a gaussian process},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {307--315},
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     number = {2},
     year = {1988},
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     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1988__24_2_307_0/}
}
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Talagrand, Michel. Small tails for the supremum of a gaussian process. Annales de l'I.H.P. Probabilités et statistiques, Volume 24 (1988) no. 2, pp. 307-315. http://www.numdam.org/item/AIHPB_1988__24_2_307_0/

[1] S.M. Berman, An Asymptotic Formula for the Distribution of the Maximum of a Gaussian Process with Stationary Increments, J. Applied Probability, 22, 1985, pp. 454- 460. | MR | Zbl

[2] S.M. Berman, The Maximum of a Gaussian Process with Nonconstant Variance, Ann. Inst. Henri Poincaré, 21, 1985, pp. 383-391. | EuDML | Numdam | MR | Zbl

[3] C. Borell, The Brunn-Minkowski Inequality in Gauss Space, Invent. Math., 30, 1975, pp. 207-216. | EuDML | MR | Zbl

[4] X. Fernique, Intégrabilité des vecteurs gaussiens, C.R. Acad. Sci. Paris, 270, 1970, pp. 1698-1699. | MR | Zbl

[5] H. Landau and L.A. Shepp, On the Supremum of a Gaussian Process, Sanka, 32, 1970, pp. 369-378. | MR | Zbl

[6] M.B. Marcus and G. Pisier, Random Fourier Series with Applications to Harmonic Analysis, Ann. Math. Studies, Vol. 101, 1981, Princeton University Press, Princeton, N.J. | MR | Zbl

[7] V.I. Piterbarg and V.P. Prisjaznjuk, Asymptotics of the Probability of Large Encursions for a Nonstationary Gaussian Process, Theor. Probability Math. Statist., Vol. 19, 1978, pp. 131-144. | Zbl

[8] M. Talagrand, Sur l'intégrabilité des vecteurs Gaussiens, Z. Wahrsch. verw. Gebiete, 68, 1984, pp. 1-8. | MR | Zbl

[9] M. Talagrand, Regularity of Gaussian Process, Acta. Math., 159, 1987, pp. 99-149. | MR | Zbl