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

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  • Prakasa Rao, B.L.S.

Abstract

We obtain a new generalization of Chebyshev's inequality for random elements taking values in a separable Hilbert space.

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  • Prakasa Rao, B.L.S., 2010. "Chebyshev's inequality for Hilbert-space-valued random elements," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 1039-1042, June.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:11-12:p:1039-1042
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    Cited by:

    1. Zhou, Ling & Hu, Ze-Chun, 2012. "Chebyshev’s inequality for Banach-space-valued random elements," Statistics & Probability Letters, Elsevier, vol. 82(5), pages 925-931.
    2. Budny, Katarzyna, 2014. "A generalization of Chebyshev’s inequality for Hilbert-space-valued random elements," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 62-65.
    3. Navarro, Jorge, 2014. "Can the bounds in the multivariate Chebyshev inequality be attained?," Statistics & Probability Letters, Elsevier, vol. 91(C), pages 1-5.

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