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http://elibrary.kdpu.edu.ua/xmlui/handle/0564/1193| Назва: | Markov Chains application to the financial-economic time series prediction |
| Автори: | Соловйов, Володимир Миколайович Saptsin, Vladimir Chabanenko, Dmitry |
| Ключові слова: | complex Markov chains financial time-series |
| Дата публікації: | 22-лис-2011 |
| Бібліографічний опис: | Soloviev V. N. Markov Chains application to the financial-economic time series prediction [Electronic resource] / Vladimir Soloviev, Vladimir Saptsin, Dmitry Chabanenko. – 22 Nov 2011. – arXiv:1111.5254v1 [q-fin.ST]. – Access mode : https://arxiv.org/pdf/1111.5254.pdf |
| Короткий огляд (реферат): | In this research the technology of complex Markov chains is applied to predict financial time series. The main distinction of complex or high-order Markov Chains and simple first-order ones is the existing of aftereffect or memory. The technology proposes prediction with the hierarchy of time discretization intervals and splicing procedure for the prediction results at the different frequency levels to the single prediction output time series. The hierarchy of time discretizations gives a possibility to use fractal properties of the given time series to make prediction on the different frequencies of the series. The prediction results for world's stock market indices is presented. |
| Опис: | [1] A. A. Samarskii and A. P. Mikhailov. Mathematical Modelling: Ideas. Methods. Examples. Fizmatlit, Moscow, 2001. [2] V. V. Bohoboyaschyy, K. R. Kurbanov, P.B. Paly, and V.M. Shmandiy. Principles of Forecasting in Ecology: Textbook (in Ukrainian). Center navchalnoji literaturi, Kyiv, 2004. [3] O. G. Ivakhnenko. Grouping method of data handling - the concurrent of stochastic approximation methods (in ukrainian) Automatika, 3(3):58–72, 1968. [4] J. V. Andersen, S. Gluzman, and D. Sornette. Fundamental framework for “technical analysis” of market prices. European Physical Journal B, 14:579–601, March 2000. [5] D. Horvath and R. Pincak. From the currency rate quotations onto strings and brane world scenarios. arXiv:1104.4716 , April 2011. [6] M. Repasan and R. Pincak. The string prediction models as application to financial forex market. arXiv:1109.0435 , September 2011. [7] P. V. Elyutin and V. D. Krivchenkov. Quantum Mechanics with tasks. Nauka, Moscow, 1976. [8] L.D. Landau and E.M. Lifshitz. Quantum mechanics: non-relativistic theory. Teoreticheskafizika (Izd. 3-e) (Landau, L. D, 1908-1968). Butterworth-Heinemann, 1977. [9] J. Sapir. K Ekonomitcheskoj teorii neodnorodnyh sistem - opyt issledovanija decentralizovannoj ekonomiki. GU VShE, Moskov, 2001. [10] L. von Bertalanffy. General system theory—a critical review. “General Systems”, VII:1–20, 1962. [11] K. R. Kurbanov and V. M. Saptsin. Markov chains as technology for social, economic and ecological processes forecasting. In “Problemy ta perspectivy rozvitku regonalno rinkovo ekonomki” Conference proceedings (in Russian), pages 10 – 14, Kremenchuk, May, 11-13 2007. [12] V. M. Saptsin. Experience of using genetically complex Markov chains for the neural network technology forecasting. Visnyk Krivorizkogo ekonomichnogo institutu KNEU, 2 (18):56 – 66, 2009. [13] Y. P. Lukashin. Adaptive Methods of Time Series Forecasting: Textbook. Finance and Statistics, Moscow, 2003. [14] Y. P. Zaichenko. Fuzzy models and techniques in intelligent systems. Monograph(in Russian). Slovo, Kiev, 2008. [15] A. A. Ezhov and S. A. Shumsky. Neurocomputing and its application in economics and business (Series “Textbooks” of Economic-Analytical Institute MEPI) / Ed. prof. V. V. Kharitonov. MEPI, Moscow, 1998. [16] I. V. Zayencev. Neural networks: basic models. Textbook for the course “Neural networks” for 5-th grade students (in Russian) Physical Electronics Department, Faculty of Voronezh State University Voronezh State University, Voronezh. [17] D. M. Chabanenko. Detection of short- and long-term memory and time series prediction methods of complex Markov chains. In Visnyk Natsionalnogo tehnichnogo universitetu “Kharkivsky politehnichny institut”. Zbirnik Naukovyh pratz. Tematichny vypusk: Informatika i modelyuvannya (in Ukrainian), number 31, pages 184 – 190. NTU KHPI, Kharkov, 2010. http://www.pim.net.ua/ARCH F/V pim 10.pdf [18] S. L. Sobolev. Selected topics from the theory of functional spaces and generalized functions. Nauka, Moscow, 1989. [19] J. Hale. Theory of Functional Differential Equations. Springer-Verlag, New York, Heidelberg, Berlin, 1977. [20] M.J. Buckingham. Noise in electronic devices and systems. Ellis Horwood series in electrical and electronic engineering. E. Horwood, 1983. [21] Hanz-Valter Lorenz. Nonlinear Dynamical Economics and Chaotic Motion. Springer-Verlag, 1989. [22] E.E. Peters. Chaos and order in the capital markets: a new view of cycles, prices, and market volatility. Wiley finance editions. Wiley, 1996. [23] J. Feder. Fractals. Physics of solids and liquids. Plenum Press, 1988. [24] V. I. Tikhonov and V. A. Mironov. Markov Processes. Soviet Radio, Moscow, 1977. [25] G.A. Korn and T.M. Korn. Mathematical handbook for scientists and engineers: definitions, theorems, and formulas for reference and review. Dover books on mathematics. Dover Publications, 2000. [26] Andrian E. Raftery. A model for high-order markov chains. Journal of the Royal Statistical Society., 1985. [27] Adrian Raftery and Simon Tavare. Estimation and modelling repeated patterns in high order markov chains with the mixture transition distribution model. Appl. Statist., 43(1):179–199, 1994. [28] V. M. Saptsin and V. N. Soloviev. Relativistic Quantum Econophysics. New paradigms of Complex systems modeling: Monograph. http://kafek.at.ua/sol sap monogr.rar Brama-Ukraine, Cherkassy, 2009. [29] V. Saptsin and V. Soloviev. Relativistic quantum econophysics - new paradigms in complex systems modelling. arXiv:0907.1142v1 [physics.soc-ph]. [30] V. D. Derbentsev, A. A. Serdyuk, V. N. Soloviev, and O. D. Sharapov. Synergetical and econophysical methods for the modeling of dynamic and structural characteristics of economic systems. Monograph (in Ukrainian). Brama-Ukraine, Cherkassy, 2010. http://kafek.at.ua/Monogr.pdf [31] V. M. Saptsin and D. N. Chabanenko. Fourier-based forecasting of low-frequency components of economical dynamic’s time series. In Problemy ekonomichnoyi kibernetiki: Tezy dopovidey XIV Vseukrayinskoyi Naukovo-praktichnoyi konferentsiyi.(in Ukrainian), page 132, Kharkiv, Oct 8-9, 2009 2009. KhNU imeni VN Karazina. [32] D. M. Chabanenko. Discrete Fourier-based forecasting of time series. Sistemni tehnologii. Regionalny mizhvuzivsky zbirnik naukovyh pratz (in Ukrainian), 1(66):114 – 121, 2010. http://www.nbuv.gov.ua/portal/natural/syte/2010 1/15.pdf [33] V. N. Soloviev. Mathematical economics. A textbook for self-study (in Ukrainian). CHNU, Cherkassy, 2008. http://kafek.at.ua/Posibnyk Soloviev.rar [34] Vladimir Soloviev, Vladimir Saptsin, and Dmitry Chabanenko. Prediction of financial time series with the technology of high-order markov chains. In Working Group on Physics of Socio-economic Systems (AGSOE), Drezden, 2009. http://www.dpgverhandlungen.de/2009/dresden/agsoe.pdf [35] V. Soloviev, V. Saptsin, and D. Chabanenko. Financial time series prediction with the technology of complex markov chains. Computer Modelling and New Technologies, 14(3):63–67, 2010. http://www.tsi.lv/RSR/vol14 3/14 3-7.pdf [36] Yahoo! finance database. http://finance.yahoo.com [37] Economic indicators : Gdp per capita (current prices, national currency) 2010. http://www.economywatch.com/economic-statistics/economicindicators/GDP Per Capita Current Prices National Currency/2010/ |
| URI (Уніфікований ідентифікатор ресурсу): | http://elibrary.kdpu.edu.ua/handle/0564/1193 https://doi.org/10.48550/arXiv.1111.5254 |
| Розташовується у зібраннях: | Кафедра інформатики та прикладної математики |
Файли цього матеріалу:
| Файл | Опис | Розмір | Формат | |
|---|---|---|---|---|
| 1111.5254.pdf | Article | 464.25 kB | Adobe PDF | Переглянути/Відкрити |
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