On the comparison of distribution functions of random variables

DOI10.1134/S0001434610010037zbMath1206.60021OpenAlexW2101628760MaRDI QIDQ1957007

Serguei V. Astashkin

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610010037

zbMATH Keywords

comparison principleBanach spaceBanach coupleSidon setChebyshev inequalityRademacher systemdistribution function of a random variablePeetre \(\mathcal K\)-functional

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probabilistic methods in Banach space theory (46B09)

Related Items (2)

On comparing systems of random variables with the Rademacher sequence ⋮ On Fourier coefficients of lacunary systems

Cites Work

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• On the distribution of Sidon series
• The distribution of vector-valued Rademacher series
• Extraction of subsystems ``majorized by the Rademacher system
• Contraction and decoupling inequalities for multilinear forms and \(U\)-statistics
• Commensurate Sequences of Characters
• Interpolation of Quasi-Normed Spaces.

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