On comparing systems of random variables with the Rademacher sequence

DOI10.1070/IM8468zbMath1391.46018OpenAlexW2581094368MaRDI QIDQ4605734

Serguei V. Astashkin

Publication date: 27 February 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8468

zbMATH Keywords

Rademacher functionsindependent random variables\(\mathcal K\)-functional\(q\)-concave Banach latticeBernoulli's conjecture

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) Banach lattices (46B42) Probabilistic methods in Banach space theory (46B09) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• Sidonicity and variants of Kaczmarz's problem
• On the comparison of distribution functions of random variables
• On the suprema of Bernoulli processes
• Commensurate Sequences of Characters
• On Weak Tail Domination of Random Vectors
• Systems of random variables equivalent in distribution to the Rademacher system and $ \mathscr K$-closed representability of Banach couples
• The Generic Chaining

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