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Matematicheskoe modelirovanie, 2014, Volume 26, Number 3, Pages 97–107 (Mi mm3461)  

This article is cited in 12 scientific papers (total in 12 papers)

Sample distribution function construction for non-stationary time-series forecasting

A. D. Bosova, R. S. Kalmetievb, Yu. N. Orlovba

a Keldysh Institute for Applied Mathematics of RAS, Moscow
b Moscow Institute of Physics and Technology, Dolgoprudny
References:
Abstract: The method of non-stationary time-series trajectory generation is proposed in accordance with Liouville evolution equation for the empirical distribution function density. With this generated series the non-autonomic dynamical chaotic system can be associated. For this system the Liapunov factor is estimated in the case of quasi-stationary initial distribution.
Keywords: non-stationary time series, empirical distribution function, kinetic evolution equation, Lyapunov exponent.
Received: 04.12.2012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Bosov, R. S. Kalmetiev, Yu. N. Orlov, “Sample distribution function construction for non-stationary time-series forecasting”, Mat. Model., 26:3 (2014), 97–107
Citation in format AMSBIB
\Bibitem{BosKalOrl14}
\by A.~D.~Bosov, R.~S.~Kalmetiev, Yu.~N.~Orlov
\paper Sample distribution function construction for non-stationary time-series forecasting
\jour Mat. Model.
\yr 2014
\vol 26
\issue 3
\pages 97--107
\mathnet{http://mi.mathnet.ru/mm3461}
\elib{https://elibrary.ru/item.asp?id=21826442}
Linking options:
  • https://www.mathnet.ru/eng/mm3461
  • https://www.mathnet.ru/eng/mm/v26/i3/p97
  • This publication is cited in the following 12 articles:
    1. M. V. Goguev, A. A. Kislitsyn, “Modelirovanie traektorii vremennykh ryadov s pomoschyu uravneniya Liuvillya”, Kompyuternye issledovaniya i modelirovanie, 16:3 (2024), 585–598  mathnet  crossref
    2. A. A. Kislitsin, Yu. N. Orlov, “Modeling evolution sample distributions of random quantities by the equation of Liuville”, Math. Models Comput. Simul., 12:5 (2020), 747–756  mathnet  crossref  crossref
    3. Yu. N. Orlov, S. L. Fedorov, “Modelirovanie ansamblya nestatsionarnykh sluchainykh traektorii s ispolzovaniem uravneniya Fokkera–Planka”, Matem. modelirovanie, 29:5 (2017), 61–72  mathnet  elib
    4. Yu. V. Gaidamaka, Yu. N. Orlov, D. A. Molchanov, A. K. Samuilov, “Modelirovanie otnosheniya signal/interferentsiya v mobilnoi seti so sluchainym bluzhdaniem vzaimodeistvuyuschikh ustroistv”, Inform. i ee primen., 11:2 (2017), 50–58  mathnet  crossref  elib
    5. Yu. V. Gaidamaka, K. E. Samuilov, S. Ya. Shorgin, “Metod modelirovaniya kharakteristik interferentsii pri pryamom vzaimodeistvii peremeschayuschikhsya ustroistv v geterogennoi besprovodnoi seti pyatogo pokoleniya”, Inform. i ee primen., 11:4 (2017), 2–9  mathnet  crossref  elib
    6. Yu. Orlov, S. Fedorov, A. Samuylov, Yu. Gaidamaka, D. Molchanov, “Simulation of devices mobility to estimate wireless channel quality metrics in 5G networks”, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016), AIP Conf. Proc., 1863, eds. T. Simos, C. Tsitouras, Amer. Inst. Phys., 2017, UNSP 090005-1  crossref  isi  scopus
    7. S. Fedorov, Yu. Orlov, A. Samuylov, D. Moltchanov, Yu. Gaidamaka, K. Samouylov, S. Shorgin, “Sir distribution in D2D environment with non-stationary mobility of users”, Proceedings of the 31st European Conference on Modelling and Simulation (ECMS 2017), eds. Z. Paprika, P. Horak, K. Varadi, P. Zwierczyk, A. Vidovics-Dancs, J. Radics, European Council Modelling & Simulation, 2017, 720–725  isi
    8. Yu. N. Orlov, S. L. Fedorov, “Modelirovanie raspredelenii funktsionalov na ansamble traektorii nestatsionarnogo sluchainogo protsessa”, Preprinty IPM im. M. V. Keldysha, 2016, 101, 14 pp.  mathnet  crossref
    9. L. V. Klochkova, Yu. N. Orlov, S. A. Fedorov, “Modelirovanie ansamblya nestatsionarnykh traektorii s pomoschyu uravneniya Fokkera-Planka”, Zhurnal SVMO, 18:1 (2016), 126–134  mathnet  elib
    10. L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Formuly Feinmana dlya usredneniya polugrupp, porozhdaemykh operatorami tipa Shredingera”, Preprinty IPM im. M. V. Keldysha, 2015, 057, 23 pp.  mathnet
    11. Yu. N. Orlov, S. L. Fedorov, “Modelirovanie i statisticheskii analiz funktsionalov, zadannykh na vyborkakh iz nestatsionarnogo vremennogo ryada”, Preprinty IPM im. M. V. Keldysha, 2014, 043, 26 pp.  mathnet
    12. A. D. Bosov, Yu. N. Orlov, S. L. Fedorov, “O raspredelenii ryadov absolyutnykh prirostov tsen na finansovykh rynkakh”, Preprinty IPM im. M. V. Keldysha, 2014, 096, 15 pp.  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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