Time Series Analysis: Mandelbrot Theory At Work In Economics
Price
Free (open access)
Transaction
Volume
15
Pages
6
Published
1997
Size
546 kb
Paper DOI
10.2495/IMS970261
Copyright
WIT Press
Author(s)
M.F. Guiducci and M.I. Loflredo
Abstract
The consequences of the Gaussian hypothesis, which leads to the Efficient Market Hypothesis, are investigated in the framework of time teries tnalysis in economics. The validity of an alternative model, based on Mandelbrot theory, is discussed using the Rescaled Range technique. Hurst exponents related to the underlying fractional Brownian motion are evaluated. 1 Introduction Representing time series for financial markets as non-linear dynamical systems with many degrees of freedom, within the framework of the theory of chaos and fractionals, can be traced back to papers published by Mandelbrot [1,2]. Starting from the discrepancy between the natural consequences of the Efficient Market Hypothesis and the real behavior of financial time series, he took into account a wider choice of underlying probability spaces whose
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