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.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.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.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 |
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