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Greatest Lower Bounds of System Failure Probability on a Time Interval Under Incomplete Information About the Distribution Function of Time to Failure

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Cybernetics and Systems Analysis Aims and scope

Abstract

The authors solve problems of finding the greatest lower bounds for the probability F (\( \upsilon \)) - F (u),0< u < \( \upsilon \) < ∞, in the set of distribution functions F (x) of nonnegative random variables with unimodal density with mode m, u < m < \( \upsilon \), and fixed two first moments.

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Authors and Affiliations

  1. Kyiv, Ukraine

    L. S. Stoikova

  2. Institute of Special Communication and Information Security, National Technical University of Ukraine “KPI,”, Kyiv, Ukraine

    S. N. Krasnikov

Authors
  1. L. S. Stoikova
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  2. S. N. Krasnikov
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Corresponding author

Correspondence to L. S. Stoikova.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2016, pp. 84–94.

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Stoikova, L.S., Krasnikov, S.N. Greatest Lower Bounds of System Failure Probability on a Time Interval Under Incomplete Information About the Distribution Function of Time to Failure. Cybern Syst Anal 52, 905–914 (2016). https://doi.org/10.1007/s10559-016-9892-4

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  • DOI: https://doi.org/10.1007/s10559-016-9892-4

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