The effect of long-range dependence on modelling extremes with the generalised extreme value distribution

European Physical Journal: Special Topics

Volumn 174, Issue 1, 2009, Pages 91-97

  Rust, Henning W ^a  

^a LABORATOIRE DES SCIENCES DU CLIMAT ET DE L ENVIRONNEMENT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68249150681     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2009-01092-8     Document Type: Article

References (31)

1. S. Hallegatte, J. Appl. Meteorol. Climatol. 46, 1956 (2007)
2. Munich Re Group, Tech. Rep., Munich Re Group (2009)
3. J. Beirlant, Y. Goegebeur, H. Segers, J. Teugels, Statistics of Extremes: Theory and Applications (Wiley, 2004)
4. S.G. Coles, An Introduction to Statistical Modelling of Extreme Values (Springer, London, 2001)
5. P. Embrechts, C. Klüppelberger, T. Mikosch, Modelling Extremal Events for Insurance and Finance (Springer, Berlin, 1997)
6. J. Beran, Statistics for Long-Memory Processes (Chapman & Hall, 1994)
7. P.M. Robinson (ed.), Time Series with Long Memory (Oxford University Press, 2003)
8. T.A. Cohn, H.F. Lins, Geophys. Res. Lett. 32, L23402 (2005)
9. K. Fraedrich, R. Blender, Phys. Rev. Lett. 90, 108501 (2003)
10. R.L. Smith, Long-range Dependence and Global Warming, edited by V. Barnett, P. Turkman, Statistics for the Environment (John Wiley and Sons Ltd., 1993), pp. 141-161
11. D.I. Vyushin, V.E. Fioletov, T.G. Shepherd, J. Geophys. Res. 112, D14307 (2007)
12. A. Montanari, R. Rosso, M.S. Taqqu, Water Resour. Res. 36, 1249 (2000)
13. M. Mudelsee, Water Resour. Res. 43, W01202 (2007)
14. M. Santhanam, H. Kantz, Physica A 345, 713 (2005)
15. A. Bunde, J.F. Eichner, S. Havlin, J.W. Kantelhart, Physica A 330, 1 (2003)
16. E.G. Altmann, H. Kantz, Phys. Rev. E 71, 056106 (2005)
17. R.A. Fisher, L.H.C. Tippett, Proc. Cambridge Phil. Soc. 24, 180 (1928)
18. R.W. Katz, M.B. Parlange, C. Tebaldi, Clim. Change 60, 189 (2003)
19. D. Maraun, H.W. Rust, T.J. Osborn, Int. J. Climatol, doi: 10.1002/ joc.1811 (2009) (in press)
20. H.W. Rust, D. Maraun, T.J. Osborn, Eur. Phys. J. Special Topics 174, 99 (2009)
21. J.R.M. Hosking, J.R. Wallis, E.F. Wood, Technometrics 27, 251 (1985)
22. R.L. Smith, Biometrika 72, 67 (1985)
23. H.W. Rust, O. Mestre, V.K.C. Venema, J. Geophys. Res. 113, D19110 (2008)
24. M.R. Leadbetter, G. Lindgren, H. Rootzén, Extremes and Related Properties of Random Sequences and Processes (Springer, New York, 1983)
25. P.J. Brockwell, R.A. Davis, Time Series: Theory and Methods (Springer, Berlin, 1991)
26. A. Montanari, R. Rosso, M.S. Taqqu, Water Resour. Res. 33, 1035 (1997)
27. A.C. Davison, D.B. Hinkley, Bootstrap Methods and their Application (Cambridge University Press, Cambridge, 1997)
28. H.W. Rust, M. Kallache, H.-J. Schellnhuber, J. Kropp, Confidence Intervals for Flood Return Level Estimates using a Bootstrap Approach, J. Kropp, H.-J. Schellnhuber, In Extremis (Springer, Berlin, forthcoming)
29. M. Kallache, H.W. Rust, J. Kropp, Nonlin. Proc. Geophys. 2, 201 (2005)
30. D. Maraun, H.W. Rust, J. Timmer, Nonlin. Proc. Geophys. 11, 495 (2004)
31. R Development Core Team, R: A Language and Environment for Statistical Computing (R Foundation for Statistical Computing, Vienna, 2004)