Geodesic
Local and global upper functions for random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 4, pp. 755-764 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We introduce and calculate the local and global upper functions for arbitrary, i.e., not necessarily Gaussian, random fields. Only the Cramer condition is assumed to be fulfilled for the fields under consideration. Despite the generality we show by examples that the results obtained are precise for the Gaussian fields studied earlier. Possible applications are described.
Keywords: random field, local and global modules of continuity, Young–Fenchel transform, metric entropy, exponential estimate. 
@article{TVP_1996_41_4_a2,
     author = {S. A. Egishyants and E. I. Ostrovskii},
     title = {Local and global upper functions for random fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {755--764},
     year = {1996},
     volume = {41},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a2/}
}
TY  - JOUR
AU  - S. A. Egishyants
AU  - E. I. Ostrovskii
TI  - Local and global upper functions for random fields
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1996
SP  - 755
EP  - 764
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a2/
LA  - ru
ID  - TVP_1996_41_4_a2
ER  - 
%0 Journal Article
%A S. A. Egishyants
%A E. I. Ostrovskii
%T Local and global upper functions for random fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1996
%P 755-764
%V 41
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a2/
%G ru
%F TVP_1996_41_4_a2
S. A. Egishyants; E. I. Ostrovskii. Local and global upper functions for random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 4, pp. 755-764. http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a2/