%0 Book Section %1 statphys23_0444 %A Pennetta, C. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K analysis extreme fluctuation phenomena processes series statphys23 stochastic time topic-11 values %T Statistics of the Extreme Values in Presence of Intermediate-Term Correlations %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=444 %X The return time statistics (RTS) of the extreme values in time series with long-term correlations has been recently studied by Bunde et al. 1 and Altmann and Kantz 2. These authors found that the return intervals of the extreme values follow a stretched exponential distribution with a value of the distribution exponent practically coincident with the correlation exponent of the time series. In this talk, the RTS of time series characterized by finite-term correlations with non-exponential decay will be considered. Precisely, the results will be discussed of numerical analyses of the return intervals of extreme values associated with the resistance fluctuations displayed by a resistor in a nonequilibrium stationary states 3. These results show that when the auto-correlation function displays a non-exponential and non-power-law decay, the distribution of the return times of extreme values still keeps the stretched exponential form, with an exponent largely independent of the threshold 3. Thus, the stretched exponential distribution cannot be considered an exclusive feature of long-term correlated time series. 1) A. Bunde et al., Physica A, 330, 1 (2003) and A. Bunde et al., Phys. Rev. Lett., 94, 048701 (2005). \\ 2) E. G. Altmann, H. Kantz, Phys. Rev. E, 71, 056106 (2005). \\ 3) C. Pennetta, Eur. Phys. J. B, 50, 95 (2006).

@incollection{statphys23_0444, abstract = {The return time statistics (RTS) of the extreme values in time series with long-term correlations has been recently studied by Bunde et al. [1] and Altmann and Kantz [2]. These authors found that the return intervals of the extreme values follow a stretched exponential distribution with a value of the distribution exponent practically coincident with the correlation exponent of the time series. In this talk, the RTS of time series characterized by finite-term correlations with non-exponential decay will be considered. Precisely, the results will be discussed of numerical analyses of the return intervals of extreme values associated with the resistance fluctuations displayed by a resistor in a nonequilibrium stationary states [3]. These results show that when the auto-correlation function displays a non-exponential and non-power-law decay, the distribution of the return times of extreme values still keeps the stretched exponential form, with an exponent largely independent of the threshold [3]. Thus, the stretched exponential distribution cannot be considered an exclusive feature of long-term correlated time series. 1) A. Bunde et al., {\em Physica A}, {\bf 330}, 1 (2003) and A. Bunde et al., {\em Phys. Rev. Lett.}, {\bf 94}, 048701 (2005). \\ 2) E. G. Altmann, H. Kantz, {\em Phys. Rev.} E, {\bf 71}, 056106 (2005). \\ 3) C. Pennetta, {\em Eur. Phys. J.} B, {\bf 50}, 95 (2006).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Pennetta, C.}, biburl = {https://www.bibsonomy.org/bibtex/2004f9734df8daadc2c24d473c1c7c880/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {8e2d1a8433c742458f8cb409e278e535}, intrahash = {004f9734df8daadc2c24d473c1c7c880}, keywords = {analysis extreme fluctuation phenomena processes series statphys23 stochastic time topic-11 values}, month = {9-13 July}, timestamp = {2007-06-20T10:16:20.000+0200}, title = {Statistics of the Extreme Values in Presence of Intermediate-Term Correlations}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=444}, year = 2007 }