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@article{VSGTU_2020_24_2_a6, author = {A. L. Saraev and L. A. Saraev}, title = {Stochastic calculation of curves dynamics of enterprise}, journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences}, pages = {343--364}, publisher = {mathdoc}, volume = {24}, number = {2}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/VSGTU_2020_24_2_a6/} }
TY - JOUR AU - A. L. Saraev AU - L. A. Saraev TI - Stochastic calculation of curves dynamics of enterprise JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 2020 SP - 343 EP - 364 VL - 24 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGTU_2020_24_2_a6/ LA - ru ID - VSGTU_2020_24_2_a6 ER -
%0 Journal Article %A A. L. Saraev %A L. A. Saraev %T Stochastic calculation of curves dynamics of enterprise %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 2020 %P 343-364 %V 24 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGTU_2020_24_2_a6/ %G ru %F VSGTU_2020_24_2_a6
A. L. Saraev; L. A. Saraev. Stochastic calculation of curves dynamics of enterprise. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 24 (2020) no. 2, pp. 343-364. http://geodesic.mathdoc.fr/item/VSGTU_2020_24_2_a6/
[1] Kolemayev V. A., Matematicheskaia ekonomika [Mathematical Economics], Moscow, 2005, 399 pp. (In Russian)
[2] Artemyev S. S., Yakunin M. A., Matematicheskoe i statisticheskoe modelirovanie v finansakh [Mathematical and Statistical Modeling in Finances], Novosibirsk, 2008, 174 pp. (In Russian)
[3] Vorontsovskii A. V., Dikarev A. Yu., “Forecasting macroeconomic indicators in simulation mode based on stochastic models of economic growth”, Finansy i Biznes, 2013, no. 2, 33–51 (In Russian)
[4] Kurzenev V. A., Lychagina E. B., “Stochastic Modelling of Dynamics of Economic System”, Upravlencheskoe konsultirovanie, 2013, no. 5, 78–83 (In Russian)
[5] Andrianov D. L., Shultz D. N., Oshchepkov I. A., “Dynamic stochastic general economic equilibrium models”, Upravlenie ekonomicheskimi sistemami [Management of Economic Systems], 67:7 (2014) (In Russian) http://www.uecs.ru/uecs67-672014/item/2998-2014-07-30-07-14-51
[6] Andrianov D. L., Shultz D. N., Oshchepkov I. A., “Dynamic stochastic model of Russia's general economic equilibrium”, Vestnik Nizhegorodskogo universiteta, Ser. Sotsialnye nauki, 2015, no. 2(38), 18–25 (In Russian)
[7] Andrianov D. L., Arbuzov V. O., Ivliev S. V., Maksimov V. P., Simonov P. M., “Dynamic models of economics: Theory, applications, software implementation”, Vestnik Permskogo Universiteta, Ser. Ekonomika, 2015, no. 4, 8–32
[8] Itô K., McKean H. P. Jr., Diffusion processes and their sample paths, Classics in Mathematics, Springer, Berlin, xv+321 pp. | DOI
[9] Allen E., Modeling with Itô stochastic differential equations, Mathematical Modelling: Theory and Applications, 22, Springer, Netherlands, 2007, xii+230 pp. | DOI | Zbl
[10] Stepanov S. S., Stokhasticheskii mir [Stochastic World] ; Accessed February 27, 2020 (In Russian) https://synset.com/pdf/ito.pdf
[11] Neisy A., Peymany M., “Financial modeling by ordinary and stochastic differential equations”, World Applied Sciences Journal, 13:11 (2011), 2288–2295
[12] Kallianpur G., Sundar P., Stochastic analysis and diffusion processes, Oxford Graduate Texts in Mathematics, 24, Oxford University Press, Oxford, 2014, xiv+352 pp. | DOI | Zbl
[13] Bally V., Talay D., “The law of the Euler scheme for stochastic differential equations: I. Convergence rate of the distribution function”, Probab. Th. Rel. Fields, 104:1 (1996), 43–60 | DOI | Zbl
[14] Bally V., Talay D., “The law of the Euler scheme for stochastic differential equations: II. Convergence rate of the density”, Monte Carlo Methods and Applications, 2:2 (1996), 93–128 | DOI | Zbl
[15] Debarant K., Rößler A., “Classification of stochastic Runge–Kutta methods for the weak approximation of stochastic differential equations”, Mathematics and Computers in Simulation, 77:4 (2008), 408–420, arXiv: [math.NA] 1303.4510 | DOI
[16] Soheili A. R., Namjoo M., “Strong approximation of stochastic differential equations with Runge–Kutta methods”, World Journal of Modelling and Simulation, 4:2 (2008), 83–93
[17] Kuznetsov D. S., Stokhasticheskie differentsial'nye uravneniia: teoriia i praktika chislennogo resheniia [Stochastic Differential Equations: Theory and Practice of Numerical Solution], Polytechnic Univ., St. Petersburg, 2007, 800 pp. (In Russian) | DOI
[18] Konakov V., Menozzi S., “Weak error for stable driven stochastic differential equations: Expansion of the densities”, J. Theor. Probab., 24 (2011), 454–478 | DOI | Zbl
[19] Konakov V., Menozzi S., “Weak error for the Euler scheme approximation of diffusions with non-smooth coefficients”, Electron. J. Probab., 22 (2017), 46, 47 pp., arXiv: [math.PR] 1604.00771 | DOI | Zbl
[20] Hottovy S., Volpe G., Wehr J., “Noise-Induced drift in stochastic differential equations with arbitrary friction and diffusion in the Smoluchowski–Kramers limit”, J. Stat. Phys., 146:4 (2012), 762–773 | DOI | Zbl
[21] Frikha N., “On the weak approximation of a skew diffusion by an Euler-type scheme”, Bernoulli, 24:3 (2018), 1653–1691 | DOI | Zbl
[22] Solov'ev V. I., Ekonomiko-matematicheskoe modelirovanie rynka programmnogo obespecheniia [Economic and Mathematical Modeling of the Software Market], Vega-Info, Moscow, 2009, 176 pp. (In Russian)
[23] Ilyina E. A., Saraev A. L., Saraev L. A., “To the theory of modernization of manufacturing enterprises, taking into account the lag of domestic investment”, Ekonomika i predprinimatel'stvo, 2017, no. 9–4(86), 1130–1134 (In Russian)
[24] Kuznetzova I. Yu., “Numerical solution of a stochastic differential equation by the Euler–Maruyama method”, Mezhdunarodnyi nauchno-issledovatel'skii zhurnal, 2013, no. 11–1(18), 8–11 (In Russian)
[25] Accounting (financial) statements for PJSC Chelyabinsk Tube Rolling Plant after 2017, ; Accessed February 27, 2020 (In Russian) https://e-ecolog.ru/buh/2017/7449006730
[26] Accounting (financial) statements for LADA Izhevsk Automobile Plant LLC after 2017, ; Accessed February 27, 2020 (In Russian) https://e-ecolog.ru/buh/2017/1834051678
[27] Saraev A. L., Saraev L. A., “Indicators of nonlinear dynamics and the limiting condition of a manufacturing enterprise”, Ekonomika i predprinimatel'stvo, 2018, no. 11, 1237–1241 (In Russian)