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Certain previously known upper bounds on the moments of the norm of martingales in 2-smooth Banach spaces are improved.
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R. Ibragimov and S. Sharakhmetov · 1997
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On self-normalized sums of random variables and the Student’s statistic
S. Y. Novak · 2005
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On normal domination of (super)martingales
I. Pinelis · 2006
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On measure concentration for separately Lipschitz functions in product spaces
V. Bentkus · 2007
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On measure concentration of vector-valued maps
M. Ledoux and K. Oleszkiewicz · 2007
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L. Dümbgen, S. A. van de Geer, M. C. Veraar, and J. A. Wellner · 2010
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M. Ledoux · 2001
Cited alongside, same era.
On extremal problems and best constants in moment inequalities
R. Ibragimov and S. Sharakhmetov · 2002
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Moment inequalities for functions of independent random variables
S. Boucheron, O. Bousquet, G. Lugosi, and P. Massart · 2005
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I. Pinelis and R. Molzon
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I. Pinelis · 2011
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Optimum bounds for the distributions of martingales in Banach spaces
I. Pinelis · 2012
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