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Martingale 4 Square function 4 2-convex space 1 Banach space 1 Best constant 1 Best constants 1 Conditional square function 1 Haar system 1 Hilbert space 1 Weak type inequality 1 Weak-type inequality 1
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Undetermined 4
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Article 4
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Osȩkowski, Adam 4
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Statistics & Probability Letters 4
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RePEc 4
Showing 1 - 4 of 4
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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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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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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
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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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