# 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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