Geodesic
On the bounded laws of iterated logarithm in Banach space
ESAIM: Probability and Statistics, Tome 9 (2005), pp. 19-37

Voir la notice de l'article provenant de la source Numdam

In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.

DOI : 10.1051/ps:2005002
Classification : 60F05, 60B12, 60F99
Keywords: Banach space, bounded law of iterated logarithm, isoperimetric inequality, Rademacher series, self-normalizer 
@article{PS_2005__9__19_0,
     author = {Deng, Dianliang},
     title = {On the bounded laws of iterated logarithm in {Banach} space},
     journal = {ESAIM: Probability and Statistics},
     pages = {19--37},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2005},
     doi = {10.1051/ps:2005002},
     mrnumber = {2148959},
     zbl = {1136.60314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2005002/}
}
TY  - JOUR
AU  - Deng, Dianliang
TI  - On the bounded laws of iterated logarithm in Banach space
JO  - ESAIM: Probability and Statistics
PY  - 2005
SP  - 19
EP  - 37
VL  - 9
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/ps:2005002/
DO  - 10.1051/ps:2005002
LA  - en
ID  - PS_2005__9__19_0
ER  - 
%0 Journal Article
%A Deng, Dianliang
%T On the bounded laws of iterated logarithm in Banach space
%J ESAIM: Probability and Statistics
%D 2005
%P 19-37
%V 9
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ps:2005002/
%R 10.1051/ps:2005002
%G en
%F PS_2005__9__19_0
Deng, Dianliang. On the bounded laws of iterated logarithm in Banach space. ESAIM: Probability and Statistics, Tome 9 (2005), pp. 19-37. doi: 10.1051/ps:2005002

Cité par Sources :