caa a22 4500 445391014 CHVBK 20180317143046.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0307-7 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0307-7 Correlations Between Record Events in Sequences of Random Variables with a Linear Trend [Elektronische Daten] [Gregor Wergen, Jasper Franke, Joachim Krug] The statistics of records in sequences of independent, identically distributed random variables is a classic subject of study. One of the earliest results concerns the stochastic independence of record events. Recently, records statistics beyond the case of i.i.d. random variables have received much attention, but the question of independence of record events has not been addressed systematically. In this paper, we study this question in detail for the case of independent, non-identically distributed random variables, specifically, for random variables with a linearly moving mean. We find a rich pattern of positive and negative correlations, and show how their asymptotics is determined by the universality classes of extreme value statistics. Springer Science+Business Media, LLC, 2011 Records nationallicence Extreme value statistics nationallicence Correlations nationallicence Wergen Gregor Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut Franke Jasper Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut Krug Joachim Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1206-1222 0022-4715 144:6<1206 2011 144 10955 https://doi.org/10.1007/s10955-011-0307-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0307-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wergen Gregor Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut NATIONALLICENCE 700 1- Franke Jasper Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut NATIONALLICENCE 700 1- Krug Joachim Institute for Theoretical Physics, University of Cologne, Cologne, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/6(2011-09-01), 1206-1222 0022-4715 144:6<1206 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer