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Scaling Range for Power Laws in Time Series

Dariusz Grech 1Zygmunt Mazur 

1. Wrocław University, Institute of Theoretical Physics (IFT UWr), pl. Maksa Borna 9, Wrocław 50-205, Poland

Abstract

The DFA (Detrended Fluctuation Analysis) and DMA (Detrended Moving Average Analysis) are crucial in determination of autocorrelation in time series giving a nice and useful tool to determine the Hurst-Hausdorff scaling factor. Not a lot is known however on the scaling regime (range) where both methods can be used. It is in particular the case of short and medium length series (L≤104) one often meets in practical analysis. We present a way to solve this problem and discuss preliminary results. Then comparison with real financial time series is done.

 

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Related papers

Presentation: Oral at 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", Plenary session, by Dariusz Grech
See On-line Journal of 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2006-02-27 15:13
Revised:   2009-06-07 00:44