Geodesic
On the bounded laws of iterated logarithm in Banach space
ESAIM: Probability and Statistics, Tome 9 (2005), pp. 19-37 Cet article a éte moissonné depuis la source Numdam

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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 
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     author = {Deng, Dianliang},
     title = {On the bounded laws of iterated logarithm in {Banach} space},
     journal = {ESAIM: Probability and Statistics},
     pages = {19--37},
     year = {2005},
     publisher = {EDP-Sciences},
     volume = {9},
     doi = {10.1051/ps:2005002},
     mrnumber = {2148959},
     zbl = {1136.60314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2005002/}
}
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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

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