Bias, Peter V.Hedman, ShawnRose, David2022-06-232022-06-232010Bias, P. V., Hedman, S., & Rose, D. (2010). Boundary distributions with respect to Chebyshev's inequality. Journal of Mathematics and Statistics, 6(1), 47-51. https://doi.org/10.3844/jmssp.2010.47.51https://doi.org/10.3844/jmssp.2010.47.51http://hdl.handle.net/11416/641Variables 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.en-USStatisticsVariables (Mathematics)Chebyshev’s inequalityArticle