Abstract
The work is devoted to the study of the dynamics of prices of exchange instruments using the random walk model and stable distributions with infinite variance of price changes. This allows one to significantly improve the predictive quality of the simulation model.
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D. Yu. Chukin and I. V. Tregub, “Simulating the dynamics of prices of exchange instruments using a random walk model with stable steps,” in: Proc. Conf. “Simulation Modeling. Theory and Practice,” 2011 [in Russian], St. Petersburg (2011), pp. 301–305.
C. Grinstead and J. Snell Introduction to Probability, Am. Math. Soc. (2003).
J. McCulloch, “Simple onsistent estimators of stable distribution parameters,” Commun. Statist. Simul., 4, No. 15, 1109–1136 (1986).
J. Nolan, Stable Distributions. Models for Heavy Tailed Data, Birkhäuser (2010).
S. Rachev, Handbook of Heavy Tailed Distributions in Finance, North Holland (2003).
L. O. Shlyaev, I. V. Tregub, and A. V. Tregub, “Comparative analysis of models for assessment of credit risk of issuers of corporate bonds in the Russian debt market,” Vestn. Mosk. Gos. Univ. Lesa, Lesnoi Vestnik, No. 3 (95), 215–221 (2013).
I. V. Tregub, “Modeling of dynamics of prices of exchange instruments in the Russian stock market by methods of technical analysis,” Vestn. Mosk. Gos. Univ. Lesa, Lesnoi Vestnik, No. 3 (39), 156–170 (2005).
I. V. Tregub, Simulation Modeling [in Russian], Moscow (2007).
I. V. Tregub, Visualization Techniques of Modeling Studies [in Russian], Lambert Academic Publ., Saarbrücken (2013).
I. V. Tregub and A. V. Tregub, “Method of forecasting indicators of stochastic economic systems,” Vestn. Mosk. Gos. Univ. Lesa, Lesnoi Vestnik, No. 2, 144–152 (2008).
R. Weron, Performance of the Estimators of Stable Law Parameters, HSC, Research Report HSC/95/1.
R. Weron, “On the Chambers–Mallows–Stuck method for simulating skewed stable random variables,” Statist. Probab. Lett., 28, 165–171 (1996).
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 95, Models of Mathematical Economics, 2015.
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Tregub, I.V. On the Applicability of the Random Walk Model with Stable Steps for Forecasting the Dynamics of Prices of Financial Tools in the Russian Market. J Math Sci 216, 716–721 (2016). https://doi.org/10.1007/s10958-016-2933-8
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DOI: https://doi.org/10.1007/s10958-016-2933-8