A Note on Chebyshev Inequality: To Explain or to Predict

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L7L3L

A Note on Chebyshev Inequality: To Explain or to Predict

Amaresh Das
Amaresh Das University of New Orleans
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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? 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.

A Note on Chebyshev Inequality: To Explain or to Predict

The question is: What proportion of the total probability of a random varriable X lies within a certain interval of the mea? 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.

Amaresh Das
Amaresh Das University of New Orleans

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Amaresh Das. 2017. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F5): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 17 Issue F5
Pg. 25- 29
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GJSFR-F Classification: MSC 2010: 11Y16
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A Note on Chebyshev Inequality: To Explain or to Predict

Amaresh Das
Amaresh Das University of New Orleans

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