Browsing by Author "Hedman, Shawn"

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    Boundary distributions with respect to Chebyshev's inequality
    (Science Publications, 2010) Bias, Peter; Hedman, Shawn; Rose, David
    Variables whose distributions achieve the boundary value of Chebyshev’s inequality are characterized and it is found that non-constant variables with this property are symmetric discrete with at most three values. Nevertheless, the bound of Chebyshev’s inequality remains optimal for the class of continuous variables.
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    ItemOpen Access
    Boundary distributions with respect to Chebyshev's inequality
    (Science Publications, 2010) Bias, Peter V.; Hedman, Shawn; Rose, David
    Variables whose distributions achieve the boundary value of Chebyshev's inequality are characterized and it is found that non-constant variables with this property are symmetric discrete with at most three values. Nevertheless, the bound of Chebyshev's inequality remains optimal for the class of continuous variables.