Geodesic
About the density of spectral measure of the two-dimensional SaS random vector
Discussiones Mathematicae. Probability and Statistics, Tome 23 (2003) no. 1, pp. 77-81

Voir la notice de l'article provenant de la source Library of Science

In this paper, we consider a symmetric α-stable p-sub-stable two-dimensional random vector. Our purpose is to show when the function exp-(|a|p + |b|p)^α/p is a characteristic function of such a vector for some p and α. The solution of this problem we can find in [3], in the language of isometric embeddings of Banach spaces. Our proof is based on simple properties of stable distributions and some characterization given in [4].
Keywords: stable, sub-stable, maximal stable random vector, spectral measure 
@article{DMPS_2003_23_1_a3,
     author = {Borowiecka-Olszewska, Marta and Misiewicz, Jolanta},
     title = {About the density of spectral measure of the two-dimensional {SaS} random vector},
     journal = {Discussiones Mathematicae. Probability and Statistics},
     pages = {77--81},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a3/}
}
TY  - JOUR
AU  - Borowiecka-Olszewska, Marta
AU  - Misiewicz, Jolanta
TI  - About the density of spectral measure of the two-dimensional SaS random vector
JO  - Discussiones Mathematicae. Probability and Statistics
PY  - 2003
SP  - 77
EP  - 81
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a3/
LA  - en
ID  - DMPS_2003_23_1_a3
ER  - 
%0 Journal Article
%A Borowiecka-Olszewska, Marta
%A Misiewicz, Jolanta
%T About the density of spectral measure of the two-dimensional SaS random vector
%J Discussiones Mathematicae. Probability and Statistics
%D 2003
%P 77-81
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a3/
%G en
%F DMPS_2003_23_1_a3
Borowiecka-Olszewska, Marta; Misiewicz, Jolanta. About the density of spectral measure of the two-dimensional SaS random vector. Discussiones Mathematicae. Probability and Statistics, Tome 23 (2003) no. 1, pp. 77-81. http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a3/