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Informatika i Ee Primeneniya [Informatics and its Applications], 2013, Volume 7, Issue 2, Pages 4–16 (Mi ia254)  

This article is cited in 33 scientific papers (total in 33 papers)

Parametrical statistical and analytical modeling of distributions in nonlinear stochastic systems on manifolds

I. N. Sinitsyn

IPI RAN
References:
Abstract: Discrete parametrical statistical and analytical modeling methods in nonlinear Ito stochastic systems on manifolds with Wiener and Poisson noises have been developed. For one- and multidimensional densities parametrization, the coefficients in orthogonal expansions of different orders are taken. Special attention is paid to nonlinear correlational theory of statistical and analytical modeling.
Keywords: analytical modeling; method of normal approximation; nonlinear correlational theory; nonlinear Ito stochastic system on manifold; orthogonal expansions method; parametrization of one- and multidimensional densities; statistical linearization method; statistical modeling.
Document Type: Article
Language: Russian
Citation: I. N. Sinitsyn, “Parametrical statistical and analytical modeling of distributions in nonlinear stochastic systems on manifolds”, Inform. Primen., 7:2 (2013), 4–16
Citation in format AMSBIB
\Bibitem{Sin13}
\by I.~N.~Sinitsyn
\paper Parametrical statistical and analytical modeling of distributions in nonlinear stochastic systems on manifolds
\jour Inform. Primen.
\yr 2013
\vol 7
\issue 2
\pages 4--16
\mathnet{http://mi.mathnet.ru/ia254}
Linking options:
  • https://www.mathnet.ru/eng/ia254
  • https://www.mathnet.ru/eng/ia/v7/i2/p4
  • This publication is cited in the following 33 articles:
    1. I. N. Sinitsyn, “Normalnye suboptimalnye filtry dlya differentsialnykh stokhasticheskikh sistem, ne razreshennykh otnositelno proizvodnykh”, Inform. i ee primen., 15:1 (2021), 3–10  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, “Analiticheskoe modelirovanie shirokopolosnykh protsessov v stokhasticheskikh sistemakh, ne razreshennykh otnositelno proizvodnykh”, Inform. i ee primen., 11:1 (2017), 3–10  mathnet  crossref  elib
    5. I. N. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh s ellipticheskimi nelineinostyami”, Sistemy i sredstva inform., 27:1 (2017), 3–19  mathnet  crossref  elib
    6. I. N. Sinitsyn, “Parametricheskoe analiticheskoe modelirovanie protsessov v stokhasticheskikh sistemakh, ne razreshennykh otnositelno proizvodnykh”, Sistemy i sredstva inform., 27:1 (2017), 20–45  mathnet  crossref  elib
    7. I. N. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh s integralnymi nelineinostyami (I)”, Sistemy i sredstva inform., 27:2 (2017), 3–15  mathnet  crossref  elib
    8. I. N. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh s integralnymi nelineinostyami (II)”, Sistemy i sredstva inform., 27:3 (2017), 23–36  mathnet  crossref  elib
    9. I. N. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh s integralnymi nelineinostyami (III)”, Sistemy i sredstva inform., 27:4 (2017), 16–36  mathnet  crossref  elib
    10. I. N. Sinitsyn, V. I. Sinitsyn, “Analiticheskoe modelirovanie raspredelenii v nelineinykh stokhasticheskikh sistemakh na mnogoobraziyakh metodom ellipsoidalnoi approksimatsii”, Inform. i ee primen., 10:1 (2016), 45–55  mathnet  crossref  elib
    11. I. N. Sinitsyn, V. I. Sinitsyn, I. V. Sergeev, E. R. Korepanov, V. V. Belousov, V. S. Shorgin, “Matematicheskoe obespechenie analiticheskogo modelirovaniya normalnykh protsessov v stokhasticheskikh sistemakh so slozhnymi drobno-ratsionalnymi nelineinostyami”, Sistemy i sredstva inform., 26:1 (2016), 227–247  mathnet  crossref  elib
    12. I. N. Sinitsyn, E. R. Korepanov, “Normalnye filtry Pugacheva dlya avtokorrelirovannykh stokhasticheskikh sistem, lineinykh otnositelno sostoyaniya”, Sistemy i sredstva inform., 26:2 (2016), 63–78  mathnet  crossref  elib
    13. I. N. Sinitsyn, E. R. Korepanov, “Normalnye uslovno-optimalnye filtry i ekstrapolyatory Pugacheva dlya stokhasticheskikh sistem, lineinykh otnositelno sostoyaniya”, Inform. i ee primen., 10:2 (2016), 14–23  mathnet  crossref  elib
    14. I. N. Sinitsyn, “Analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh so slozhnymi besselevymi nelineinostyami drobnogo poryadka”, Inform. i ee primen., 10:3 (2016), 55–65  mathnet  crossref  elib
    15. I. N. Sinitsyn, E. R. Korepanov, V. V. Belousov, “Simvolnoe analiticheskoe modelirovanie normalnykh protsessov v stokhasticheskikh sistemakh so slozhnymi besselevymi nelineinostyami drobnogo poryadka”, Sistemy i sredstva inform., 26:3 (2016), 26–47  mathnet  crossref  elib
    16. 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
    17. I. N. Sinitsyn, E. R. Korepanov, “Ustoichivye lineinye uslovno optimalnye filtry i ekstrapolyatory dlya stokhasticheskikh sistem s multiplikativnymi shumami”, Inform. i ee primen., 9:1 (2015), 70–75  mathnet  crossref  elib
    18. I. N. Sinitsyn, E. R. Korepanov, “Sintez ustoichivykh lineinykh filtrov i ekstrapolyatorov Pugacheva dlya stokhasticheskikh sistem s multiplikativnymi shirokopolosnymi shumami”, Sistemy i sredstva inform., 25:1 (2015), 108–126  mathnet  crossref  elib
    19. I. N. Sinitsyn, V. I. Sinitsyn, I. V. Sergeev, E. R. Korepanov, V. V. Belousov, V. S. Shorgin, “Matematicheskoe obespechenie modelirovaniya normalnykh protsessov v stokhasticheskikh sistemakh so slozhnymi irratsionalnymi nelineinostyami”, Sistemy i sredstva inform., 25:2 (2015), 3–19  mathnet  crossref  elib
    20. I. N. Sinitsyn, I. V. Sergeev, V. I. Sinitsyn, E. R. Korepanov, V. V. Belousov, V. S. Shorgin, “Matematicheskoe obespechenie sinteza diskretnykh filtrov Pugacheva dlya obrabotki normalnykh protsessov v ereditarnykh stokhasticheskikh sistemakh”, Sistemy i sredstva inform., 25:2 (2015), 20–59  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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