Chebyshev's inequality for Banach-space-valued random elements

DOI10.1016/j.spl.2012.01.025zbMath1245.60025arXiv1106.0955OpenAlexW2963486333MaRDI QIDQ433574

Ling Zhou, Ze-Chun Hu

Publication date: 5 July 2012

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0955

zbMATH Keywords

Banach spaceChebyshev's inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability theory on linear topological spaces (60B11)

Related Items (5)

The multivariate Markov and multiple Chebyshev inequalities ⋮ A generalization of Chebyshev's inequality for Hilbert-space-valued random elements ⋮ Can the bounds in the multivariate Chebyshev inequality be attained? ⋮ A very simple proof of the multivariate Chebyshev's inequality ⋮ An extension of the multivariate Chebyshev's inequality to a random vector with a singular covariance matrix

Cites Work

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• Chebyshev's inequality for Hilbert-space-valued random elements
• On Generalizations of Tchebychef's Inequality
• Multivariate Chebyshev Inequalities

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