caa a22 4500 477063977 CHVBK 20180405111407.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00192068 doi (NATIONALLICENCE)springer-10.1007/BF00192068 Counting statistics of f −β fluctuations: a new method for analysis of earthquake data [Elektronische Daten] [H. Bittner, P. Tosi, C. Braun, M. Meesmann, K. Kniffki] In a variety of biological and physical phenomena, temporal fluctuations are found, which are not explainable as consequences of statistically independent random events. If these fluctuations are characterized by a power spectrum density S(f) decaying as f −β at low frequencies, this behaviour is called 1/f noise. Counting statistics applied to earthquake activity data leads to three time scales with different characteristics, represented by the exponent β: at interval lengths less than 1 h, the shocks are randomly distributed as in a Poisson process. For medium time intervals (1 day to 3 months), the exponent 1 + β is larger (1.4 for M 0=3), but approaches unity for higher threshold magnitudes M 0. In longer time ranges the exponent assumes values near 1.55, however, with increasing statistical variation at higher M 0, due to lower counts. The temporal sequence is different from white noise; thus, it might be fruitful to apply neural network algorithms, because this method allows predictions in some other cases with similar characteristics. Springer-Verlag, 1996 Counting statistics nationallicence Earthquake nationallicence 1/ f noise nationallicence Bittner H. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut Tosi P. Istituto Nazionale di Geofisica, Via Vigna Murata 605, I-00142, Rome, Italy aut Braun C. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut Meesmann M. Medizinische Universitätsklinik, Josef-Schneider-Str. 2, D-97070, Würzburg, Germany aut Kniffki K. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 110-115 0016-7835 85:1<110 1996 85 531 https://doi.org/10.1007/BF00192068 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00192068 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bittner H. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut NATIONALLICENCE 700 1- Tosi P. Istituto Nazionale di Geofisica, Via Vigna Murata 605, I-00142, Rome, Italy aut NATIONALLICENCE 700 1- Braun C. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut NATIONALLICENCE 700 1- Meesmann M. Medizinische Universitätsklinik, Josef-Schneider-Str. 2, D-97070, Würzburg, Germany aut NATIONALLICENCE 700 1- Kniffki K. Physiologisches Institut, Röntgenring 9, D-97070, Würzburg, Germany aut NATIONALLICENCE 773 0- Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 110-115 0016-7835 85:1<110 1996 85 531 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer