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Title: Analysis of the properties of ordinary levy motion based on the estimation of stability index
Authors: Kirichenko, L.
Shergin, V.
Keywords: alpha-stable variables
stability index estimation
fractional order moments
multifractal stochastic processes
Hurst exponent
generalized Hurst exponent
ordinary Levy motion
Issue Date: 2014
Publisher: Sofia : ITHEA
Citation: Kirichenko L., Shergin V. Analysis of the properties of ordinary levy motion based on the estimation of stability index // Information Content and Processing, International Journal. 2014. – Vol. 1. № 2. P. 170-181.
Abstract: The work proposes a method for estimating the stability index of alpha-stable distributions by using moments of fractional order. Provided numerical modeling has fully justified all of the results. Comparative analysis of the efficiency among the proposed method of estimating the stability index and widely used methods was performed. Proposal method is much simpler, far more faster and substantially less memory required. Estimation of generalized Hurst exponent from time series of the ordinary Lévy process was performed. Multifractal fluctuation analysis method and evaluation based on stability index estimation were compared. The results of numerical modelling showed that proposed method for estimating the fractal properties of the ordinary Lévy process, based on stability index estimation via fractional order moments is a much more accurate.
Appears in Collections:Кафедра прикладної математики (ПМ)

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