This article is cited 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

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.

MSC: 60E15

Received: 22.05.2023
Revised: 04.09.2023
Accepted: 02.11.2024

DOI: 10.4213/tvp5655

 English version: Theory of Probability and its Applications, 2025, 70:1, 140–150

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