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Exact Estimates of the Probability of a Non-Negative Unimodal Random Value Hitting Special Intervals under Incomplete Information

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Cybernetics and Systems Analysis Aims and scope

Abstract

Exact lower estimates are found for the probability that non-negative unimodal random variables μ get in the intervals(m – ασμ, m + ασμ) , where the mode m, which coincides with fixed first moment of random variable μ, is less than the root-mean-square deviation: m < σμ . The parameter α satisfies the inequalities 0 < α < m / σμ < 1. The results of this study may be useful in evaluating the probability of hitting the projectile area in target shooting.

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Authors and Affiliations

  1. Kyiv, Ukraine

    L. S. Stoikova

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  1. L. S. Stoikova
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Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2021, pp. 110–114.

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Stoikova, L.S. Exact Estimates of the Probability of a Non-Negative Unimodal Random Value Hitting Special Intervals under Incomplete Information. Cybern Syst Anal 57, 264–267 (2021). https://doi.org/10.1007/s10559-021-00351-z

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  • DOI: https://doi.org/10.1007/s10559-021-00351-z

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