Geodesic
On the Comparison of Distribution Functions of Random Variables
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 17-25

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

We prove a rather general comparison principle for the distribution functions of random variables. As a consequence, we obtain a criterion for the equivalence, in distribution in the vector sense, of an arbitrary sequence of random variables to the Rademacher system; we study the applications of this principle to special cases.
Keywords: distribution function of a random variable, comparison principle, Rademacher system, Banach space, Chebyshev inequality, Peetre $\mathscr K$-functional, Banach couple. 
@article{MZM_2010_87_1_a2,
     author = {S. V. Astashkin},
     title = {On the {Comparison} of {Distribution} {Functions} of {Random} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {17--25},
     publisher = {mathdoc},
     volume = {87},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a2/}
}
TY  - JOUR
AU  - S. V. Astashkin
TI  - On the Comparison of Distribution Functions of Random Variables
JO  - Matematičeskie zametki
PY  - 2010
SP  - 17
EP  - 25
VL  - 87
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a2/
LA  - ru
ID  - MZM_2010_87_1_a2
ER  - 
%0 Journal Article
%A S. V. Astashkin
%T On the Comparison of Distribution Functions of Random Variables
%J Matematičeskie zametki
%D 2010
%P 17-25
%V 87
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a2/
%G ru
%F MZM_2010_87_1_a2
S. V. Astashkin. On the Comparison of Distribution Functions of Random Variables. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 17-25. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a2/