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Martingale
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Square function
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2-convex space
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Banach space
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Best constant
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Best constants
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Conditional square function
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Haar system
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Osȩkowski, Adam
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Statistics & Probability Letters
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1
Best constants in the weak type inequalities for a martingale conditional
square
function
Osȩkowski, Adam
- In:
Statistics & Probability Letters
82
(
2012
)
5
,
pp. 885-893
conditional
square
function
. Some applications are presented. …
Persistent link: https://www.econbiz.de/10011039951
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2
Sharp L2logL inequalities for the Haar system and martingale transforms
Osȩkowski, Adam
- In:
Statistics & Probability Letters
94
(
2014
)
C
,
pp. 91-97
application, we obtain the two-sided bound for the martingale
square
function
S(f): E|fn|2log(e−2|fn|)≤ESn2(f)logSn(f)≤E|fn|2log …
Persistent link: https://www.econbiz.de/10011039779
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3
A weak-type inequality for the martingale
square
function
Osȩkowski, Adam
- In:
Statistics & Probability Letters
95
(
2014
)
C
,
pp. 139-143
Let f=(fn)n≥0 be a real-valued martingale satisfying f0≥0 almost surely and let S(f) denote the
square
function
of f …
Persistent link: https://www.econbiz.de/10011039904
Saved in:
4
Inequalities for martingales taking values in 2-convex Banach spaces
Osȩkowski, Adam
- In:
Statistics & Probability Letters
84
(
2014
)
C
,
pp. 102-107
We study sharp
square
function
inequalities for martingales taking values in a 2-convex Banach space B. We show that an …
Persistent link: https://www.econbiz.de/10011040028
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