A Note on Chebyshev Inequality: To Explain or to Predict

Amaresh Das

A Note on Chebyshev Inequality: To Explain or to Predict

Amaresh Das * §

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§ SOUTHERN UNIVERSITY AT NEW ORLEANS

A Note on Chebyshev Inequality: To Explain or to Predict

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Abstract

The question is: What proportion of the total probability of a random varriable X lies within a certain interval of the mea 𝜇𝜇? What is the probability of being hit by a meteor greater in size than five times the standard deviation above the mean? Because it can be applied to completely arbitrary distributions(unknown except for mean and variables), the inequality generally gives a poor bound compared to what might be deduced if more aspects are known about the distribution involved.

References

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Anirban Dasgupta (2000). Best constants in Chebyshev inequalities with various applications.
K Ferentinos (1982). On Tcebycheff's type inequalities.
Samuel Kotz,N Balakrishnan,Norman Johnson (2012). Continuous Multivariate Distributions.
D Lal (1955). A Note on a Form of Tchebusheff's Inequality Two or More Variables.
M Mood,Grayhill (1963). A.M. Mood and F.A. Graybill Introduction to the Theory of Statistics. Second Edition. McGraw-Hill Series in Probability and Statistics. New York, San Francisco, Toronto, London, McGraw-Hill Book Company, Inc., 1963, XV p. 443 p., 69/6..

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Amaresh Das. 2017. "A Note on Chebyshev Inequality: To Explain or to Predict". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5).

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GJSFR Volume 17 Issue F5

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 11Y16

Submission ReceivedJune 27, 2017
Peer Review Double Blind
Handling Editor
Accepted July 27, 2017
Published August 7, 2017

Version of record

v1.2

Issue date

August 24, 2017

Language

English

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Article Matrices

Total Score: 175

Country: United States

Subject: Global Journal of Science Frontier Research

Authors: Amaresh Das (PhD/Dr. count: 0)

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Publish Date: 2017 08, Mon

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