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Title Statistical theory of self-similar time series
Authors Olemskoi, A.I.
Kokhan, S.V.
ORCID
Keywords
Type Article
Date of Issue 2004
URI http://essuir.sumdu.edu.ua/handle/123456789/1379
Publisher Видавництво СумДУ
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Citation Olemskoi, A.I. Statistical theory of self-similar time series [Текст] / A.I. Olemskoi, S.V. Kokhan // Вісник Сумського державного університету. Серія Фізика, математика, механіка. - 2004. - №10(69). - С. 142-153.
Abstract Within Tsallis statistics, a picture is elaborated to treat self-similar time series as a thermodynamic system. Thermodynamic-type characteristics relevant to temperature, pressure, entropy, internal and free energies are introduced and tested. Predictability conditions of time series analysis are discussed on the basis of Van der Waals model. Maximal magnitude for time interval and minimal resolution scale of the value under consideration are found and analyzed in details. Time series statistics is shown to be governed by effective temperature being exponential measure of the fractal dimensionality of a phase space related to the time series. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/1379
Appears in Collections: Журнал нано- та електронної фізики (Journal of nano- and electronic physics)

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