References
- Journal of the American Statistical Association v.50 On Generalizations of Tchebychef's Inequality Godwin, H.J.
- I. J. Bienayme: Statistical Theory Anticipated Heyde, C.C.;Seneta, E.
Communications for Statistical Applications and Methods
- Volume 6 Issue 1
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- Pages.261-266
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- 1999
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- 2287-7843(pISSN)
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- 2383-4757(eISSN)
Geometric Interpretation on Chebyshev Type Inequalities
- Lee, Kee-Won (Department of Statistics, Hallym University) ;
- Kim, Yoon-Tae (Department of Statistics, Hallym University)
- Published : 1999.04.01
Abstract
We present a geometric interpretation of Chebyshev type inequalities. This uses a simple diagram which illustrates the functional bound for the indicator function of the event whose probability we want to assess. We also give a geometric interpretation of the inequalities in terms of volume in a Euclidean space of appropriate dimension. Markov's inequality and Chebyshev's inequality are treated in more detail.
Keywords