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Statistics & Probability Letters
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Chebyshev’s inequality for Banach-space-valued random elements

Chebyshev's inequality for Banach-space-valued random elements
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2012Embargo end date: 01 Jan 2011 English Publisher:Elsevier BVJournal:Statistics & Probability Letters, volume 82, pages 925-931 (issn: 0167-7152, Copyright policy )
Authors: Zhou, Ling; Hu, Ze-Chun;

doi: 10.1016/j.spl.2012.01.025 , 10.48550/arxiv.1106.0955

arXiv: 1106.0955

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

Abstract

In this paper, we obtain a new generalization of Chebyshev's inequality for random elements taking values in a separate Banach space.

9 pages

Related Organizations
Keywords

Banach space, Probability theory on linear topological spaces, Probability (math.PR), FOS: Mathematics, Inequalities; stochastic orderings, Chebyshev's inequality, Mathematics - Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Average
Green
bronze