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Phenomenon of statistical stability

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Abstract

Results of experimental research for the statistical stability of physical processes are presented. They demonstrate that, in general, real processes are statistically unstable but the stability violation is significant only when observation intervals are large. Research results for interrelation between the statistical stability of a process and its spectrum and also for particularities of the law of large numbers when the statistical stability is disturbed are generalized. Ways of unstable process generation are studied.

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References

  1. B. V. Gnedenko, Theory of Probability, 6th ed. (Moscow, Fizmatlit, 1988; CRC, Boca Raton, 1998).

    MATH  Google Scholar 

  2. Gilbert’s Problems, Ed. by P. S. Aleksandrov (Nauka, Moscow, 1969).

    Google Scholar 

  3. A. N. Kolmogorov, Basic Concepts of Probability Theory (ONTI, Moscow, 1974).

    Google Scholar 

  4. I. I. Gorban, Theory of Hyper-Random Phenomena: Physical and Mathematical Grounds (Naukova Dumka, Kiev, 2011).

    Google Scholar 

  5. I. I. Gorban, Int. J. Inf. Theor. Appl. 16, 5 (2009).

    Google Scholar 

  6. I. I. Gorban, Math. Machines Syst., No. 1, 14 (2013).

    Google Scholar 

  7. I. I. Gorban, Information Models of Knowledge (ITHEA, Kiev-Sofia, 2010), pp. 398–410.

    Google Scholar 

  8. I. I. Gorban, Int. J. Inf. Theor. Appl. 18, 321 (2011).

    Google Scholar 

  9. I. I. Gorban, Int. J. Inf. Theor. Appl. 15, 203 (2008).

    Google Scholar 

  10. I. I. Gorban, Theory of Hyper-Random Phenomena (Nats. Akad. Nauk, Kiev, 2007).

    Google Scholar 

  11. I. I. Gorban, Radioelectron. Commun. Syst. 55, 99 (2012).

    Article  Google Scholar 

  12. Yu. V. Chaikovskii, On the Nature of Randomness (Tsentr Sist. Issled. Inst. Istorii Estestvoznaniya Tekh. RAN, 2004).

    Google Scholar 

  13. O. B. Sheinin, Theory of Probability: Historical Essay. http://www.sheynin.de.

  14. I. I. Gorban, Math. Machines Syst., No. 4, 106 (2012).

    Google Scholar 

  15. I. I. Gorban, in Proceedings of the 10th All-Russia Conference on Application Technology of Hydroacoustic and Hydrophysics, St. Petersburg, 2010, pp. 199–201.

  16. I. I. Gorban, N. I. Gorban, V. V. Novotryasov, and I. O. Yaroshchuk, in Proceedings of the 7th All-Russia Symposium on Geosphere Physics, Vladivostok, 2011, pp. 542–547.

  17. All-Sky Monitor (ASM) team at the Kavli Institute for Astrophysics and Space Research at the Massachusetts Institute of Technology. http://xte.mit.edu/ASM-lc.html

  18. I. I. Gorban, Radioelectron. Commun. Syst. 54, 499 (2011).

    Article  Google Scholar 

  19. I. I. Gorban, Problems of Computer Intellectualization (ITHEA, Kyiv-Sofia, 2012), Book 28, pp. 359–374.

    Google Scholar 

  20. I. I. Gorban, Math. Machines Syst., No. 3, 147 (2012).

    Google Scholar 

  21. Sh. M. Kogan, Sov. Phys. Usp. 28, 170 (1985).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Mathematical Machine and System Problems, National Academy of Sciences of Ukraine, pr. Glushkova 42, Kyiv, 03187, Ukraine

    I. I. Gorban

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  1. I. I. Gorban
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Correspondence to I. I. Gorban.

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Original Russian Text © I.I. Gorban, 2014, published in Zhurnal Tekhnicheskoi Fiziki, 2014, Vol. 84, No. 3, pp. 22–30.

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Gorban, I.I. Phenomenon of statistical stability. Tech. Phys. 59, 333–340 (2014). https://doi.org/10.1134/S1063784214030128

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  • DOI: https://doi.org/10.1134/S1063784214030128

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