Geodesic
On extremal properties of mean values of continuous random variables and relations between them
Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 149-157.

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In this paper, we introduce the notions of separating value and tantiles of continuous random variables and examine their extremal properties and extremal properties of quantiles. We obtain estimates for the differences between expected values, medians, and separating values of continuous random variables. 
@article{CMA_2015_98_a7,
     author = {V. L. Khatskevich},
     title = {On extremal properties of mean values of continuous random variables and relations between them},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {149--157},
     publisher = {mathdoc},
     volume = {98},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_98_a7/}
}
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V. L. Khatskevich. On extremal properties of mean values of continuous random variables and relations between them. Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 149-157. http://geodesic.mathdoc.fr/item/CMA_2015_98_a7/