Browsing by Author "Rose, David"
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Item Boundary distributions with respect to Chebyshev's inequality(Science Publications, 2010) Bias, Peter; Hedman, Shawn; Rose, DavidVariables 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.Item Boundary distributions with respect to Chebyshev's inequality(Science Publications, 2010) Bias, Peter V.; Hedman, Shawn; Rose, DavidVariables 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.