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Informatika i Ee Primeneniya [Informatics and its Applications], 2013, Volume 7, Issue 1, Pages 3–11 (Mi ia239)  

This article is cited in 7 scientific papers (total in 7 papers)

Analytical modeling of invariant measure distributions in stochastic systems with discontinuous characteristics

I. N. Sinitsyn

IPI RAN
Full-text PDF (171 kB) Citations (7)
References:
Abstract: Basedonnormalapproximationandstatisticallinearization, exactandapproximatealgorithmsfordistibutions with invariant measure analytical modeling in nongaussian stochastic systems (StS) with discontinuous characteristics are developed. Peculiarities in Poisson StS are considered. Test examples confirm the practical accuracy of algorithms.
Keywords: analytical modeling; autocorrelated noise; distribution with invariant measure; method of normal approximation; method of statistical linearization; Poisson stochastic system; Pugachev integrodifferential equations, stochastic regime; stochastic system in Ito sense.
Document Type: Article
Language: Russian
Citation: I. N. Sinitsyn, “Analytical modeling of invariant measure distributions in stochastic systems with discontinuous characteristics”, Inform. Primen., 7:1 (2013), 3–11
Citation in format AMSBIB
\Bibitem{Sin13}
\by I.~N.~Sinitsyn
\paper Analytical modeling of invariant measure distributions in stochastic systems with discontinuous characteristics
\jour Inform. Primen.
\yr 2013
\vol 7
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/ia239}
Linking options:
  • https://www.mathnet.ru/eng/ia239
  • https://www.mathnet.ru/eng/ia/v7/i1/p3
  • This publication is cited in the following 7 articles:
    1. I. N. Sinitsyn, “Analiticheskoe modelirovanie raspredelenii s invariantnoi meroi v stokhasticheskikh sistemakh, ne razreshennykh otnositelno proizvodnykh”, Inform. i ee primen., 17:1 (2023), 2–10  mathnet  crossref
    2. I. N. Sinitsyn, V. I. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v volterrovskikh stokhasticheskikh sistemakh”, Sistemy i sredstva inform., 28:2 (2018), 4–19  mathnet  crossref  elib
    3. I. N. Sinitsyn, V. I. Sinitsyn, “Analiticheskoe modelirovanie raspredelenii s invariantnoi meroi v volterrovskikh stokhasticheskikh sistemakh”, Sistemy i sredstva inform., 28:3 (2018), 4–25  mathnet  crossref  elib
    4. I. N. Sinitsyn, V. I. Sinitsyn, E. R. Korepanov, “Modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh so slozhnymi irratsionalnymi nelineinostyami”, Inform. i ee primen., 9:1 (2015), 2–8  mathnet  crossref  elib
    5. I. N. Sinitsyn, “Analiz i modelirovanie raspredelenii v ereditarnykh stokhasticheskikh sistemakh”, Inform. i ee primen., 8:1 (2014), 2–11  mathnet  crossref  elib
    6. I. N. Sinitsyn, “Analiticheskoe modelirovanie raspredelenii s invariantnoi meroi v negaussovskikh differentsialnykh i privodimykh k nim ereditarnykh stokhasticheskikh sistemakh”, Inform. i ee primen., 8:2 (2014), 2–14  mathnet  crossref  elib
    7. I. N. Sinitsyn, “Parametricheskoe statisticheskoe i analiticheskoe modelirovanie raspredelenii v nelineinykh stokhasticheskikh sistemakh na mnogoobraziyakh”, Inform. i ee primen., 7:2 (2013), 4–16  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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