Change of direction (ironic ;-):
Measured the dimensions of some price series - using the counting boxes method (executed in Excel VBA):
FTSE 1.8241
BP 1.425
GKSR 1.1058
They are progressively less fractal.
Now for the FTSE and BP it seems that a velocity approach is not the most appropriate approach since dy/dx is not defined for fractals. While moving averages are appealing in watching trends: I wonder what theoretical foundation exists for their use now.
The shift in approach now (altho I will return to other approaches) is in search of attractors that drive stock charts.
===
This paper is exactly what I wanted to do all laid out tho I've not got the IFS to work yet:
===
From discussion board
-Business Forecasting: "moving average", exponential smoothing, dynamic regression, deseasonalization, ARIMA, autocorrelation, correlogram
-Spectral Analysis: "Fourier transform", FFT ("fast Fourier transform), DCT "discrete cosine transform", wavelet, coherence
-Digital Signal Processing: FIR ("finite impulse response"), IIR ("infinite impulse response"), Wiener
Of course, many other, more generic, techniques have been applied to time-series. I suggest an on-line search for terms like "fuzzy logic" or "neural network" in combination with time-series terms such as "forecast", "prediction" or "denoise".
No comments:
Post a Comment