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On Some Nonlinear Characteristics of the Center of Grouping of Random Variables

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Abstract

The paper devoted to different aspects of the theory of nonlinear mean random variables, i.e., the geometric mean, harmonic mean, and average power.

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REFERENCES

  1. Shiryaev, A.N. Probability (Nauka, Moscow, 1980) [in Russian].

  2. Aivazyan, S.A., Enyukov, I.E., Meshalkin, L.D. Applied Statistics. Modeling Basics and Data Preprocessing (Finansy i Statistika, Moscow, 1983) [in Russian].

  3. Hardy, G.H., Littlewood, J.E., Pólya, G. Inequalities (Cambridge University Press, Cambridge, 1934; MTsMNO, Moscow, 2008).

  4. Gini, C. Means (Statistika, Moscow, 1970) [in Russian].

  5. Khatskevich, V.L. “On the Law of Large Numbers for Nonlinear Mean Random Variables”, Russian Math. (Iz. VUZ) 8, 70–77 (2019).

  6. Borovkov, A.A. Mathematical Statistics (URSS, Moscow, 2018) [in Russian].

  7. Rozanov, Yu.A. Theory of Probabilities, Random Processes, and Mathematical Statistics (Nauka, Moscow, 1989) [in Russian].

  8. Orlov, A.I. Applied Statistics (Ekzamen, Moscow, 2006) [in Russian].

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Authors and Affiliations

  1. Military educational scientific center Air force “Air force academy named after N.E. Zhukovsky and Yu.A. Gagarin”, 54 a old Bolsheviks str., 394064, Voronezh, Russia

    V. L. Khatskevich

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  1. V. L. Khatskevich
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Correspondence to V. L. Khatskevich.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 8, pp. 50–58.

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Khatskevich, V.L. On Some Nonlinear Characteristics of the Center of Grouping of Random Variables. Russ Math. 64, 42–49 (2020). https://doi.org/10.3103/S1066369X2008006X

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  • DOI: https://doi.org/10.3103/S1066369X2008006X

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