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Teoriya Veroyatnostei i ee Primeneniya, 2025, Volume 70, Issue 1, Pages 169–181
DOI: https://doi.org/10.4213/tvp5655 (Mi tvp5655) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A generalization of Chebyshev–Markov type inequality

L. Zhu, F. Wu, Y. L. Zhao, Y. X. Yang, W. X. Zhong

State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Mechanics, Dalian University of Technology, Dalian, P. R. China
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DOI: https://doi.org/10.4213/tvp5655
Abstract: In this paper, we obtain a new generalization of a Chebyshev–Markov type inequality. Then we apply it to the symmetric distribution and the skewed distribution respectively, showing that it is sharper than the original Chebyshev inequality.
Keywords: Chebyshev inequality, Markov inequality, probability bounds.
Funding agency Grant number
National Natural Science Foundation of China U1906233
11472076
11472076
National Key Research and Development Program of China 2021YFA1003501
Natural Science Foundation of Liaoning Province 2021-MS-119
Dalian Youth Science and Technology Star project 2018RQ06
Fundamental Research Funds for the Central Universities DUT20GJ216
DUT22QN251
This work was supported by the National Natural Science Foundation of China grants (Nos. U1906233, 11472076 and 51609034), the National Key R&D program of China (№ 2021YFA1003501), the Science Foundation of Liaoning Province of China (№ 2021-MS-119), the Dalian Youth Science and Technology Star project (№ 2018RQ06), and the Fundamental Research Funds for the Central Universities grant (№ DUT20GJ216 and DUT22QN251).
Received: 22.05.2023
Revised: 04.09.2023
Accepted: 02.11.2024
Published: 27.01.2025
English version:
Theory of Probability and its Applications, 2025, Volume 70, Issue 1, Pages 140–150
DOI: https://doi.org/10.1137/S0040585X97T992288
Bibliographic databases:
Document Type: Article
MSC: 60E15
Language: Russian
Citation: L. Zhu, F. Wu, Y. L. Zhao, Y. X. Yang, W. X. Zhong, “A generalization of Chebyshev–Markov type inequality”, Teor. Veroyatnost. i Primenen., 70:1 (2025), 169–181; Theory Probab. Appl., 70:1 (2025), 140–150
Citation in format AMSBIB
\Bibitem{ZhuWuZha25}
\by L.~Zhu, F.~Wu, Y.~L.~Zhao, Y.~X.~Yang, W.~X.~Zhong
\paper A generalization of Chebyshev--Markov type inequality
\jour Teor. Veroyatnost. i Primenen.
\yr 2025
\vol 70
\issue 1
\pages 169--181
\mathnet{http://mi.mathnet.ru/tvp5655}
\crossref{https://doi.org/10.4213/tvp5655}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4856753}
\transl
\jour Theory Probab. Appl.
\yr 2025
\vol 70
\issue 1
\pages 140--150
\crossref{https://doi.org/10.1137/S0040585X97T992288}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105005607259}
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    • This publication is cited in the following 1 articles:
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