Estimating Correlation Dimension on Japanese Candlestick, Application to FOREX Time Series
Recognizing behavioral patterns of financial markets
is essential for traders. Japanese candlestick chart is a common tool to
visualize and analyze such patterns in an economic time series. Since
the world was introduced to Japanese candlestick charting, traders
saw how combining this tool with intelligent technical approaches
creates a powerful formula for the savvy investors.
This paper propose a generalization to box counting method of
Grassberger-Procaccia, which is based on computing the correlation
dimension of Japanese candlesticks instead commonly used 'close'
points. The results of this method applied on several foreign
exchange rates vs. IRR (Iranian Rial). Satisfactorily show lower
chaotic dimension of Japanese candlesticks series than regular
Grassberger-Procaccia method applied merely on close points of
these same candles. This means there is some valuable information
inside candlesticks.
[1] Gary S. Wagner, Bradley L. Matheny A," Trading Applications of
Japanese Candlestick Charting ", John Wiley and Sons Press, Oct 28,
1993, ISBN 0471587281.
[2] Grassberger, P. and I. Procaccia, 1983," Measuring the Strangeness of
Strange Attractors", Physica 9D, 189-208.
[3] J. Banks, D. Valentina, J.Arthur; "Chaos: A Mathematical Introduction",
Cambridge University Press, 2003.
[4] Granger, C. W. J. and Terasvirta, T. (1993), Modeling Nonlinear
Economic Relationships, Oxford University Press.
[5] Shintani, Mototsugu, Oliver Linton. 2001. Is There Chaos in the World
Economy? A Nonparametric Test Using Consistent Standard Errors.
Vanderbilt University Department of Economics Working Paper.
[6] S. Boccaletti, C. Grebogi, C. Lai, H. Mancini, D. Maza, "The control of
chaos: theory and applications", Physics Reports 329, 103-197, 2000.
[7] A M. Ataei, B. Lohmann, A. Khaki-Sedigh, C. Lucas, "Determining
minimum embedding dimension from chaotic time series", Nonlinear
Phenomena in Complex Systems, 6:4, pp. 842 - 851, 2003.
[8] H. Dewachter, M. Lyrio "The cost of technical trading rules in the Forex
market: A utility-based evaluation" International Money and
Finance, Vol.25, pp1072-1089, 2006.
[9] B. Davies; "Exploring Chaos: Theory And Experiment (Studies in
Nonlinearity S.)",Westview Press, 2005.
[10] W. Barnett, A. Serletis; "Martingales, nonlinearity, and chaos", Journal
of Economic Dynamics & Control 703-724, 2000.
[1] Gary S. Wagner, Bradley L. Matheny A," Trading Applications of
Japanese Candlestick Charting ", John Wiley and Sons Press, Oct 28,
1993, ISBN 0471587281.
[2] Grassberger, P. and I. Procaccia, 1983," Measuring the Strangeness of
Strange Attractors", Physica 9D, 189-208.
[3] J. Banks, D. Valentina, J.Arthur; "Chaos: A Mathematical Introduction",
Cambridge University Press, 2003.
[4] Granger, C. W. J. and Terasvirta, T. (1993), Modeling Nonlinear
Economic Relationships, Oxford University Press.
[5] Shintani, Mototsugu, Oliver Linton. 2001. Is There Chaos in the World
Economy? A Nonparametric Test Using Consistent Standard Errors.
Vanderbilt University Department of Economics Working Paper.
[6] S. Boccaletti, C. Grebogi, C. Lai, H. Mancini, D. Maza, "The control of
chaos: theory and applications", Physics Reports 329, 103-197, 2000.
[7] A M. Ataei, B. Lohmann, A. Khaki-Sedigh, C. Lucas, "Determining
minimum embedding dimension from chaotic time series", Nonlinear
Phenomena in Complex Systems, 6:4, pp. 842 - 851, 2003.
[8] H. Dewachter, M. Lyrio "The cost of technical trading rules in the Forex
market: A utility-based evaluation" International Money and
Finance, Vol.25, pp1072-1089, 2006.
[9] B. Davies; "Exploring Chaos: Theory And Experiment (Studies in
Nonlinearity S.)",Westview Press, 2005.
[10] W. Barnett, A. Serletis; "Martingales, nonlinearity, and chaos", Journal
of Economic Dynamics & Control 703-724, 2000.
@article{"International Journal of Business, Human and Social Sciences:57359", author = "S. Mahmoodzadeh and J. Shahrabi and M. A. Torkamani and J. Sabaghzadeh Ghomi", title = "Estimating Correlation Dimension on Japanese Candlestick, Application to FOREX Time Series", abstract = "Recognizing behavioral patterns of financial markets
is essential for traders. Japanese candlestick chart is a common tool to
visualize and analyze such patterns in an economic time series. Since
the world was introduced to Japanese candlestick charting, traders
saw how combining this tool with intelligent technical approaches
creates a powerful formula for the savvy investors.
This paper propose a generalization to box counting method of
Grassberger-Procaccia, which is based on computing the correlation
dimension of Japanese candlesticks instead commonly used 'close'
points. The results of this method applied on several foreign
exchange rates vs. IRR (Iranian Rial). Satisfactorily show lower
chaotic dimension of Japanese candlesticks series than regular
Grassberger-Procaccia method applied merely on close points of
these same candles. This means there is some valuable information
inside candlesticks.", keywords = "Chaos, Japanese candlestick, generalized box
counting, strange attractor.", volume = "1", number = "6", pages = "207-5", }