TY  - JOUR
AU  - Bias, Peter 
AU  - Hedman, Shawn 
AU  - Rose, David 
PY  - 2010
TI  - Boundary Distributions with Respect to Chebyshev's Inequality
JF  - Journal of Mathematics and Statistics
VL  - 6
IS  - 1
DO  - 10.3844/jmssp.2010.47.51
UR  - https://thescipub.com/abstract/jmssp.2010.47.51
AB  - 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.