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Boundary Distributions with Respect to Chebyshev's Inequality
2010
Journal of Mathematics and Statistics
Preserved Fulltext
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.
doi:10.3844/jmssp.2010.47.51
fatcat:p7g6ndq57zf4zeak4s6lv6ufau