Boundary distributions with respect to Chebyshev's inequality

dc.contributor.author	Bias, Peter V.
dc.contributor.author	Hedman, Shawn
dc.contributor.author	Rose, David
dc.date.accessioned	2022-06-23T20:09:25Z
dc.date.available	2022-06-23T20:09:25Z
dc.date.issued	2010
dc.identifier.citation	Bias, 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.2010.47.51	en_US
dc.identifier.other	https://doi.org/10.3844/jmssp.2010.47.51
dc.identifier.uri	http://hdl.handle.net/11416/641
dc.description.abstract	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.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Science Publications	en_US
dc.subject	Statistics	en_US
dc.subject	Variables (Mathematics)	en_US
dc.subject	Chebyshev’s inequality	en_US
dc.title	Boundary distributions with respect to Chebyshev's inequality	en_US
dc.type	Article	en_US