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A generalization of Chebyshev’s inequality for Hilbert-space-valued random elements

Authors :
Katarzyna Budny
Source :
Statistics & Probability Letters. 88:62-65
Publication Year :
2014
Publisher :
Elsevier BV, 2014.

Abstract

We obtain a new generalization of Chebyshev’s inequality for random vectors. Then we extend this result to random elements taking values in a separable Hilbert space.

Details

ISSN :
01677152
Volume :
88
Database :
OpenAIRE
Journal :
Statistics & Probability Letters
Accession number :
edsair.doi...........bfa9e3771d0335e4ab1c869a9c34c1ee
Full Text :
https://doi.org/10.1016/j.spl.2014.01.021