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The Levy sections theorem: an application to econophysics

Figueiredo, Annibal; Matsushita, Raul; Da Silva, Sergio; Serva, Maurizio; Viswanathan, Gandhi; Nascimento, Cesar and Gleria, Iram (2007): The Levy sections theorem: an application to econophysics. Unpublished.

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Abstract

We employ the Levy sections theorem in the analysis of selected dollar exchange rate time series. The theorem is an extension of the classical central limit theorem and offers an alternative to the most usual analysis of the sum variable. We find that the presence of fat tails can be related to the local volatility pattern of the series.

Item Type:MPRA Paper
Institution:Federal University of Santa Catarina
Language:English
Subjects:C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C49 - Other
ID Code:3810
Deposited By:Sergio Da Silva
Deposited On:04. Jul 2007
Last Modified:07. Nov 2007 03:28
References:

[1] Mantegna R. N. & Stanley E. 1995 Scaling Behavior in the dynamics of an economic index Nature 376 46-49. [2] Mantegna R. N. & Stanley E. 1994 Stochastic processes with ultra-slow convergence to a Gaussian: the Truncated L´evy Flights Physical Review Letters 73 2946-2949. [3] Levy P. 1927 Th´eorie de l’addition de variables al´eatoires, Gauthiers-Villars,Paris. [4] Tong H. 1990 Non-linear time series, Oxford Science Publishers, New York. [5] Figueiredo A. Gleria I. Matsushita R. & Da Silva S. 2007 The Levy sections theorem revisited Journal of Physics A 40 5783-5794. [6] Figueiredo A. Gleria I. Matsushita R. & Da Silva S. 2006 Nonidentically distributed variables and nonlinear autocorrelation Physica A 363 171-180.

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