@incollection{AST_1988__157-158__95_0, author = {Dobric, Vladimir and Marcus, Michael B. and Weber, Michel}, title = {The {Distribution} of {Large} {Values} of the {Supremum} of a {Gaussian} {Process}}, booktitle = {Colloque Paul L\'evy sur les processus stochastiques (22-26 juin 1987. \'Ecole Polytechnique, Palaiseau)}, series = {Ast\'erisque}, pages = {95--127}, publisher = {Soci\'et\'e math\'ematique de France}, number = {157-158}, year = {1988}, zbl = {0659.60061}, language = {en}, url = {http://www.numdam.org/item/AST_1988__157-158__95_0/} }
TY - CHAP AU - Dobric, Vladimir AU - Marcus, Michael B. AU - Weber, Michel TI - The Distribution of Large Values of the Supremum of a Gaussian Process BT - Colloque Paul Lévy sur les processus stochastiques (22-26 juin 1987. École Polytechnique, Palaiseau) AU - Collectif T3 - Astérisque PY - 1988 SP - 95 EP - 127 IS - 157-158 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1988__157-158__95_0/ LA - en ID - AST_1988__157-158__95_0 ER -
%0 Book Section %A Dobric, Vladimir %A Marcus, Michael B. %A Weber, Michel %T The Distribution of Large Values of the Supremum of a Gaussian Process %B Colloque Paul Lévy sur les processus stochastiques (22-26 juin 1987. École Polytechnique, Palaiseau) %A Collectif %S Astérisque %D 1988 %P 95-127 %N 157-158 %I Société mathématique de France %U http://www.numdam.org/item/AST_1988__157-158__95_0/ %G en %F AST_1988__157-158__95_0
Dobric, Vladimir; Marcus, Michael B.; Weber, Michel. The Distribution of Large Values of the Supremum of a Gaussian Process, dans Colloque Paul Lévy sur les processus stochastiques (22-26 juin 1987. École Polytechnique, Palaiseau), Astérisque, no. 157-158 (1988), pp. 95-127. http://www.numdam.org/item/AST_1988__157-158__95_0/
1 The Brunn-Minkowski inequality in Gauss space, Invent. Math. 30, 1975, 207-216. | DOI | EuDML | Zbl
2 An assymptotic formula for the distribution of the maximum of a Gaussian process with stationary increments, J. Applied Probability 22, 1985, 454-460. | DOI | Zbl
3 The maximum of a Gaussian process with nonconstant variance, Ann. Inst. Henri Poincaré 21, 1985, 383-391. | EuDML | Numdam | Zbl
4 Intégrabilité des vecteurs gaussiens, C. R. Acad. Sc. Paris, 270, 1970, 1698-1699. | Zbl
5 L'ordre de grandeur à l'infini de certaines fonctions aléatoires, Editions du CNRS, No. 307, 1981, 271-302. | Zbl
5a Gaussien random vectors and their reproducing kernal Hilbert spaces, Technical Report Series No. 34, University of Ottawa, 1985.
6 Evaluation de processus gaussiens composés, Lecture Notes in Math., 526, 1976, 64-85, Springer Verlag, New York. | Zbl
7 Gaussian measure of large balls in a Hilbert space, Proc. Amer. Math. Soc., 78, 1980, 107-110. | DOI | Zbl
(See also Gaussian measure of large balls in a Hilbert space", Proc. Amer. Math. Soc., 94, 1985, 188). | DOI | Zbl
, Erratum to "8 Continuity of subgaussian processes, Probability on Banach Spaces, Advances in Probability Vol. 4, 1978, 81-196, Marcel Dekker, NY.
and9 On the supremum of a Gaussian process, Sankhya Ser. A32, 1970, 369-378. | Zbl
and10 Random Fourier Series with Applications to Harmonic Analysis, Annals Math. Studies, Vol. 101, 1981, Princeton Univ. Press, Princeton, N.J. | Zbl
and11 Sample behavior of Gaussian processes, Proc. Sixth Berkeley Symp. on Prob. and Stat., 1972, 423-441, Berkeley CA. | Zbl
and12 Upcrossing probabilities for stationary Gaussian processes, Trans. Amer. Math. Soc., 145, 1969, 51-73. | DOI | Zbl
13 Small tails for the supremum of a Gaussian process, Ann. Inst. H. Poincaré, to appear. | EuDML | Numdam | Zbl
14 Classes supérieures de processus gaussiens, Z. Wahrscheinlichkeitsth., 42, 1978, 113-128. | DOI | Zbl
15 Analyse asymptotique des processus gaussiens stationaires, Ann. Inst. H. Poincairé, 1980, 117-176. | EuDML | Numdam | Zbl