2012Journal of Changchun University of TechnologyRequires access

Chebyshev inequality and its applications

Yuhong Huo

Open publisher page 3 citations

Abstract

The definition and proof of Chebyshev inequality are introduced first and then Chebyshev law of large numbers is proven by using the Chebyshev inequality.The applications of Chebyshev inequality in the probability theory,special inequalities proof and estimation are discussed.

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What this paper is about

The definition and proof of Chebyshev inequality are introduced first and then Chebyshev law of large numbers is proven by using the Chebyshev inequality.The applications of Chebyshev inequality in the probability theory,special inequalities proof and estimation are discussed.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The definition and proof of Chebyshev inequality are introduced first and then Chebyshev law of large numbers is proven by using the Chebyshev inequality.The applications of Chebyshev inequality in the probability theory,special inequalities proof and estimation are discussed.

Key concepts: Chebyshev filter, Multidimensional Chebyshev's inequality, Chebyshev's inequality, Mathematics, Inequality, Chebyshev polynomials, Chebyshev nodes, Applied mathematics

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