caa a22 4500 477047785 CHVBK 20180405111335.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF00878838 doi (NATIONALLICENCE)springer-10.1007/BF00878838 Power-laws and applications to earthquake populations [Elektronische Daten] [A. Parsa, Gurajada Murty] In this paper we study the rooted tree model applying the concepts of probability to obtain results of importance in understanding power-law distributions in pure populations and also in an ensemble of pure populations. The well-known Gutenberg-Richter relation, which is an empirical relation providing the number of earthquakes whose magnitude exceeds a given value, is shown to be an asymptotic form of survivor function of earthquake magnitudes. The implications of this model are briefly discussed in relation to other branches of sciences where power-law distributions are encountered. Birkhäuser Verlag, 1996 Pure population nationallicence rooted trees nationallicence power laws nationallicence Parsa A. Department of Actuarial Sciences and Statistics, College of Business and Public, Administration, Drake University, 50311, Des Moines, IA, USA aut Murty Gurajada Bhabha Atomic Research Center (Retired Scientist), Bombay, India aut pure and applied geophysics Birkhäuser-Verlag 147/3(1996-08-01), 455-466 0033-4553 147:3<455 1996 147 24 https://doi.org/10.1007/BF00878838 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00878838 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Parsa A. Department of Actuarial Sciences and Statistics, College of Business and Public, Administration, Drake University, 50311, Des Moines, IA, USA aut NATIONALLICENCE 700 1- Murty Gurajada Bhabha Atomic Research Center (Retired Scientist), Bombay, India aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 147/3(1996-08-01), 455-466 0033-4553 147:3<455 1996 147 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer