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Necessary and Sufficient Conditions of Existence of Extreme Distributions F 5 – F 7 in the Generalized Chebyshev Inequalities Problem. Part II

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Cybernetics and Systems Analysis Aims and scope

Abstract

The optimization problem for a linear functional on the set of distribution functions with two fixed power moments is considered. New criteria are proposed for the existence of the extreme distributions, on which a linear functional may take on the extremum value.

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REFERENCES

  1. L. S. Stoikova, “Necessary conditions of extremality of extreme distributions in generalized Chebyshev inequalities and their application to reliability theory. Part I,” Kibern. Sist. Analiz, No. 6, 133-146 (2001).

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  2. G. M. Fikhtengol'tz, Fundamentals of Mathematical Analysis [in Russian], Vol. 2, Gos. Izd-vo Tekhn.-Teoret. Lit., Moscow (1956).

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Authors and Affiliations

  1. National Academy of Sciences of Ukraine, V. M. Glushkov Institute of Cybernetics, Kiev, Ukraine

    L. S. Stoikova

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  1. L. S. Stoikova
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Stoikova, L.S. Necessary and Sufficient Conditions of Existence of Extreme Distributions F 5 – F 7 in the Generalized Chebyshev Inequalities Problem. Part II. Cybernetics and Systems Analysis 39, 284–290 (2003). https://doi.org/10.1023/A:1024747508259

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  • DOI: https://doi.org/10.1023/A:1024747508259

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