On Extremal Properties of Mean Values of Continuous Random Variables and Relations Between Them
- Authors: Khatskevich V.L.1
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Affiliations:
- Voronezh State University
- Issue: Vol 221, No 2 (2017)
- Pages: 304-312
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239023
- DOI: https://doi.org/10.1007/s10958-017-3242-6
- ID: 239023
Cite item
Abstract
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.
About the authors
V. L. Khatskevich
Voronezh State University
Author for correspondence.
Email: vlkhats@mail.ru
Russian Federation, Voronezh
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