On the bounded laws of iterated logarithm in Banach space
ESAIM: Probability and Statistics (2010)
- Volume: 9, page 19-37
- ISSN: 1292-8100
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topDeng, Dianliang. "On the bounded laws of iterated logarithm in Banach space." ESAIM: Probability and Statistics 9 (2010): 19-37. <http://eudml.org/doc/104330>.
@article{Deng2010,
abstract = {
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.
},
author = {Deng, Dianliang},
journal = {ESAIM: Probability and Statistics},
keywords = {Banach space; bounded law of iterated
logarithm; isoperimetric inequality; rademacher series;
self-normalizer.; bounded law of iterated logarithm; Rademacher series; self-normalizer},
language = {eng},
month = {3},
pages = {19-37},
publisher = {EDP Sciences},
title = {On the bounded laws of iterated logarithm in Banach space},
url = {http://eudml.org/doc/104330},
volume = {9},
year = {2010},
}
TY - JOUR
AU - Deng, Dianliang
TI - On the bounded laws of iterated logarithm in Banach space
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 19
EP - 37
AB -
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.
LA - eng
KW - Banach space; bounded law of iterated
logarithm; isoperimetric inequality; rademacher series;
self-normalizer.; bounded law of iterated logarithm; Rademacher series; self-normalizer
UR - http://eudml.org/doc/104330
ER -
References
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