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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 4, Pages 435–448 (Mi sjvm138)  
This article is cited in 3 scientific papers (total in 3 papers)

Variational dimension of random sequences and its application

S. M. Prigarinab, K. Hahnc, G. Winklerc

a Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Novosibirsk
c Institute of Biomathematics and Biometry Helmholtz Zentrum Muenchen, Neuherberg, Germany
Full-text PDF (627 kB) Citations (3)
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Abstract: A concept of variational dimension for a random sequence with stationary increments is introduced. In the Gaussian case, the variational dimension in the limit coincides with the Hausdorff dimension of a proper random process. Applications of the concept are illustrated by examples of the neurology data and the network traffic analysis.
Key words: random sequences with stationary increments, variational dimension, Hausdorff dimension, fractal, self-similarity, data analysis.
Received: 18.03.2009
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 4, Pages 352–363
DOI: https://doi.org/10.1134/S1995423909040077
Bibliographic databases:
MSC: 28A80, 62M10, 65C05
Language: Russian
Citation: S. M. Prigarin, K. Hahn, G. Winkler, “Variational dimension of random sequences and its application”, Sib. Zh. Vychisl. Mat., 12:4 (2009), 435–448; Num. Anal. Appl., 2:4 (2009), 352–363
Citation in format AMSBIB
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\by S.~M.~Prigarin, K.~Hahn, G.~Winkler
\paper Variational dimension of random sequences and its application
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 4
\pages 435--448
\mathnet{http://mi.mathnet.ru/sjvm138}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 4
\pages 352--363
\crossref{https://doi.org/10.1134/S1995423909040077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952861773}
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  • https://www.mathnet.ru/eng/sjvm138
  • https://www.mathnet.ru/eng/sjvm/v12/i4/p435
    • This publication is cited in the following 3 articles:
    1. O. V. Lazorenko, A. A. Onishchenko, I. A. Taranova, M. A. Udovenko, “PECULARITIES OF HIRST EXPONENT ESTIMATION FOR NATURAL PHYSICAL PROCESSES”, The Journal of V. N. Karazin Kharkiv National University, Series “Physics”, 2024, no. 40, 25  crossref
    2. Leonid F. Chernogor, Oleg V. Lazorenko, Andrey A. Onishchenko, “Fractal analysis for low temperature physics”, Low Temperature Physics, 49:4 (2023), 422  crossref
    3. V. A. Ogorodnikov, S. M. Prigarin, A. S. Rodionov, “Quasi-Gaussian model of network traffic”, Autom. Remote Control, 71:3 (2010), 473–485  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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