Statistical theory of self-similar  time series

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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
License	Copyright not evaluated
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)