Geodesic
Lamperti-type theorems for random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 520-544

Voir la notice de l'article provenant de la source Math-Net.Ru

Lamperti-type theorems for random fields are presented. Together with known results, some new results are put forward on $\mathbf{R}^m$-valued self-similar fields $\{\mathbf{X}(\mathbf{t}),\, \mathbf{t} \in \mathbf{R}^d \}$, their domains of attraction, and the so-called Lamperti transformations, expressing the relation between self-similarity and stationarity. Regularly and slowly varying functions of several variables are also investigated.
Keywords: self-similar random fields, limit theorems
Mots-clés : Lamperti transformations. 
@article{TVP_2018_63_3_a6,
     author = {Y. Davydov and V. Paulauskas},
     title = {Lamperti-type theorems for random fields},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {520--544},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a6/}
}
TY  - JOUR
AU  - Y. Davydov
AU  - V. Paulauskas
TI  - Lamperti-type theorems for random fields
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2018
SP  - 520
EP  - 544
VL  - 63
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a6/
LA  - en
ID  - TVP_2018_63_3_a6
ER  - 
%0 Journal Article
%A Y. Davydov
%A V. Paulauskas
%T Lamperti-type theorems for random fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2018
%P 520-544
%V 63
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a6/
%G en
%F TVP_2018_63_3_a6
Y. Davydov; V. Paulauskas. Lamperti-type theorems for random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 520-544. http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a6/