The hyperrandom functions and their description

Authors

DOI:

https://doi.org/10.3103/S0735272706010018

Abstract

The paper presents the essentials of a new mathematical apparatus for describing a special class of indeterminate functions, which cannot be characterized with the probabilistic measure. These functions are termed hyperrandom. For their description some special characteristics are suggested. A hypothesis is put forward stating that all actual events, usually considered as random, are in essence hyperrandom.

References

  1. GORBAN’, I.I. "Randomness, hyperrandomness, chaos, and indeterminacy," Standartizatsiya, Sertificatsiya, Yakist’, n.3, p.37-44, 2005.
  2. GORBAN’, I.I. "Hyperrandom phenomena and their description," Akustychny Visnyk, v.8, n.1-2, p.16-27, 2005.
  3. KOLMOGOROV, A.M. The Probability Theory and Mathematical Statistics [in Russian]. Moscow: Nauka, 1986.
  4. KOROLYUK, V.S.; ET AL. Handbook of the Probability Theory and Mathematical Statistics [in Russian]. Moscow: Nauka, 1985.
  5. GORBAN’, I.I. The Probability Theory and Mathematical Statistics for Researchers and Engineers [in Ukrainian]. Kiev: Institute of Applied Mathematics and Mathematical Statistics (IAMMS) at NAS of Ukraine, 2003.
  6. GRYNCHENKO, V.T.; MATSYPURA, V.T.; SNARSKII, A.A. Principles of Nonlonear Dynamics. Chaos and Fractals [in Russian]. Kiev: Naukova Dumka, 2005.
  7. KRONOVER, R.M. Fractals and Chaos in Dynamic Systems [in Russian]. Moscow: Postmarket, 2000.
  8. SCHUSTER, HEINZ GEORG. Deterministic Chaos. Weinheim, 1984.

Published

2006-01-01

Issue

Section

Research Articles