A Generalization of Chebyshev--Markov Type Inequality

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.

Authors

Wei Zhong (ORCID: https://orcid.org/0000-0001-9766-4257)
Li Zhu (ORCID: https://orcid.org/0000-0003-2073-2375)
Yongliang Zhao (ORCID: https://orcid.org/0000-0002-5265-0799)
Yuxiang Yang (ORCID: https://orcid.org/0000-0001-5461-1788)
Feng Wu (ORCID: https://orcid.org/0000-0003-4665-0124)

Publication Details

Journal: Theory of Probability and Its Applications
Published: 2025-05-01
DOI: https://doi.org/10.1137/s0040585x97t992288
Primary Topic: Mathematical Approximation and Integration
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

A Generalization of Chebyshev--Markov Type Inequality

Wei Zhong, Li Zhu, Yongliang Zhao, Yuxiang Yang et al.

May 1, 2025

Theory of Probability and Its Applications

Mathematical Approximation and Integration

article

A Generalization of Chebyshev--Markov Type Inequality

Wei Zhong, Li Zhu, Yongliang Zhao, Yuxiang Yang, Feng Wu

May 1, 2025article en

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.

Theory of Probability and Its ApplicationsVol. 70(1)

Reduced inequalities

Openalex Percentile: Top 85%

Mathematical Approximation and Integration

DOI Source OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A Generalization of Chebyshev--Markov Type Inequality — Wei Zhong, Li Zhu, et al. · Theory of Probability and Its Applications (2025) | TGRS Research Map | TGRS