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

DOI10.1016/j.spl.2010.02.022zbMath1281.60008OpenAlexW2080985239MaRDI QIDQ973191

B. L. S. Prakasa Rao

Publication date: 28 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2010.02.022

Mathematics Subject Classification ID

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

Related Items (8)

The multivariate Markov and multiple Chebyshev inequalities ⋮ OPTION PRICING FOR PROCESSES DRIVEN BY MIXED FRACTIONAL BROWNIAN MOTION WITH SUPERIMPOSED JUMPS ⋮ Asymptotics and practical aspects of testing normality with kernel methods ⋮ Chebyshev's inequality for Banach-space-valued random elements ⋮ 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

• On Generalizations of Tchebychef's Inequality
• Multivariate Chebyshev Inequalities
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