On norms in some class of exponential type Orlicz spaces of random variables

DOI10.1007/s11117-019-00729-6zbMath1476.46039arXiv1709.02970OpenAlexW3100242081WikidataQ115602912 ScholiaQ115602912MaRDI QIDQ830333

Krzysztof Zajkowski

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02970

zbMATH Keywords

Hoeffding inequalityLuxemburg normsconvex conjugatesOrlicz spaces of exponential type

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

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Optimal Algorithms for Stochastic Complementary Composite Minimization ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ On the strong law of large numbers for \(\phi \)-sub-Gaussian random variables

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