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Title: | On the features of Hurst Exponent estimates of the Fractional Brownian motion calculated by the R/S-analysis |
Authors: | Ponomareva, O. Porshnev, S. Solomakha, E. |
Issue Date: | 2021 |
Publisher: | IOP Publishing Ltd |
Citation: | Ponomareva O. On the features of Hurst Exponent estimates of the Fractional Brownian motion calculated by the R/S-analysis / O. Ponomareva, S. Porshnev, E. Solomakha. — DOI 10.1088/1757-899X/1047/1/012018 // IOP Conference Series: Materials Science and Engineering. — 2021. — Vol. 1047. — Iss. 1. — 012018. |
Abstract: | The article presents the analysis results of the dependence of the accuracy in estimating Hurst exponent of the Fractional Brownian motion by the R/S-analysis towards the method parameters Lmin, Lmax . It is found that the estimation of the Hurst exponent coinciding with its corresponding value is used to generate Fractional Brownian Hmod motion only when L max, L. Otherwise, Hurst Exponent Estimate H depending on the value Lmax varies in the span [0.25; 1.12]. The result obtained points out that it is necessary to critically revise the results of a number of studies where in order to analyze and forecast the dynamics of complex systems of different nature (for example, in economic ones) the authors employed the R/S-evaluation exponents of the Hurst exponent H of the time series (TS), composed of the exponents characterizing the state of the given system at a certain point. © Published under licence by IOP Publishing Ltd. |
URI: | http://elar.urfu.ru/handle/10995/102760 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85101583717 |
PURE ID: | 21028111 90d89d57-e529-4092-a5bc-04ba73a2a3a6 |
ISSN: | 17578981 |
DOI: | 10.1088/1757-899X/1047/1/012018 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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