Erratum to: Correlations Between Record Events in Sequences of Random Variables with a Linear Trend (J Stat Phys (2011), 144, (1206-1222), 10.1007/s10955-011-0307-7);Correlations Between Record Events in Sequences of Random Variables with a Linear Trend

Journal of Statistical Physics

Volumn 144, Issue 6, 2011, Pages 1206-1222

  Wergen, Gregor ^a   Franke, Jasper ^a   Krug, Joachim ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Correlations; Extreme value statistics; Records

Indexed keywords

EID: 80052934819     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0376-7     Document Type: Erratum

References (33)

1. Gembris, D., Taylor, J. G., Suter, D.: Sports statistics: trends and random fluctuations in athletics. Nature 417, 506 (2002).
2. Gembris, D., Taylor, J. G., Suter, D.: Evolution of athletic records: statistical effects versus real improvements. J. Appl. Stat. 34, 529 (2007).
3. Bassett, G. W.: Breaking recent global temperature records. Clim. Change 21, 303 (1992).
4. Benestad, R. E.: How often can we expect a record event? Clim. Res. 25, 3 (2003).
5. Redner, S., Petersen, M. R.: Role of global warming on the statistics of record-breaking temperatures. Phys. Rev. E 74, 061114 (2006).
6. Meehl, G. A., Tebaldi, C., Walton, G., Easterling, D., McDaniel, L.: Relative increase of record high maximum temperatures compared to record low minimum temperatures in the U. S. Geophys. Res. Lett. 36, L23701 (2009).
7. Wergen, G., Krug, J.: Record-breaking temperatures reveal a warming climate. Europhys. Lett. 92, 30008 (2010).
8. Newman, W. I., Malamud, B. D., Turcotte, D. L.: Statistical properties of record-breaking temperatures. Phys. Rev. E 82, 066111 (2010).
9. Anderson, A., Kostinski, A.: Reversible record breaking and variability: temperature distributions across the globe. J. Appl. Meteorol. Climatol. 49, 1681 (2010).
10. de Haan, L., Ferreira, A.: Extreme Value Theory-An Introduction. Springer, New York (2006).
11. Sibani, P., Brandt, M., Alstrøm, P.: Evolution and extinction dynamics in rugged fitness landscapes. Int. J. Mod. Phys. 12, 361 (1998).
12. Krug, J., Jain, K.: Breaking records in the evolutionary race. Physica A 358, 1 (2005).
13. Park, S.-C., Krug, J.: Evolution in random fitness landscapes: the infinite sites model. J. Stat. Mech. Theory Exp., P04014 (2008).
14. Oliveira, L. P., Jensen, H. J., Nicodemi, M., Sibani, P.: Record dynamics and the observed temperature plateau in the magnetic creep-rate of type-II superconductors. Phys. Rev. B 71, 104526 (2005).
15. Sibani, P., Rodriguez, G. F., Kenning, G. G.: Intermittent quakes and record dynamics in the thermoremanent magnetization of a spin-glass. Phys. Rev. B 74, 224407 (2006).
16. Wergen, G., Bogner, M., Krug, J.: Record statistics for biased random walks, with an application to financial data. Phys. Rev. E 83, 051109 (2011).
17. Franke, J., Wergen, G., Krug, J.: Records and sequences of records from random variables with a linear trend. J. Stat. Mech. Theory Exp., P10013 (2010).
18. Arnold, B. C., Balakrishnan, N., Nagaraja, H. N.: Records. Wiley, New York (1998).
19. Nevzorov, V. B.: Records: Mathematical Theory. Am. Math. Soc., Providence (2001).
20. Glick, N.: Breaking records and breaking boards. Am. Math. Mon. 85, 2 (1978).
21. Majumdar, S. N., Ziff, R. M.: Universal record statistics of random walks and Lévy flights. Phys. Rev. Lett. 101, 050601 (2008).
22. Le Doussal, P., Wiese, K. J.: Driven particle in a random landscape: disorder correlator, avalanche distribution, and extreme value statistics of records. Phys. Rev. E 79, 051105 (2009).
23. Sabhapandit, S.: Record statistics of continuous time random walk. Europhys. Lett. 94, 20003 (2011).
24. Ballerini, R., Resnick, S.: Records from improving populations. J. Appl. Probab. 22, 487-502 (1985).
25. Ballerini, R., Resnick, S.: Records in the presence of a linear trend. Adv. Appl. Probab. 19, 801-828 (1987).
26. Krug, J.: Records in a changing world. J. Stat. Mech. Theory Exp., P07001 (2007).
27. Gumbel, E. J.: Statistical theory of extreme values and some practical applications. Natl. Bur. Stand., Appl. Math. Ser. 33 (1954).
28. Galambos, J.: The Asymptotic Theory of Extreme Order Statistics. Wiley, New York (1987).
29. Sornette, D.: Critical Phenomena in Natural Sciences. Springer, Berlin (2004).
30. Sabhapandit, S., Majumdar, S. N.: Density of near-extreme events. Phys. Rev. Lett. 98, 140201 (2007).
31. Pickands, J. III: Statistical inference using extreme order statistics. Ann. Stat. 3, 119 (1975).
32. Christensen, K., Moloney, N. R.: Complexity and Criticality. Imperial College Press, London (2005).
33. Franke, J., Wergen, G., Krug, J.: (in preparation).