Exact estimates of the probability of a non-negative unimodal random value hitting special intervals under incomplete information

DOI10.1007/s10559-021-00351-zzbMath1472.60040OpenAlexW3148889818MaRDI QIDQ2044008

L. S. Stoikova

Publication date: 4 August 2021

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-021-00351-z

zbMATH Keywords

exact generalized Chebyshev inequalities for functionals of unimodal distribution functionsextremum values of linear functionalsJohnson-Rogers transformationlinear functionals of unimodal distribution functions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Information theory (general) (94A15)

Related Items (1)

An alternative proof of Gauss's inequalities

Cites Work

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• Influence of Boris V. Gnedenko's probabilistic-statistical school on the development of cybernetics and informatics
• Exact estimates for some linear functionals of unimodal distribution functions under incomplete information
• A review of my scientific publications. Masters and coworkers
• Generalized Chebyshev inequalities and their application in the mathematical theory of reliability
• The Moment Problem for Unimodal Distributions

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