Spatial dependences among precipitation maxima over Belgium

Nonlinear Processes in Geophysics

Volumn 14, Issue 5, 2007, Pages 621-630

  Vannitsem, S ^a   Naveau, P ^b  

^a Institut Royal Meteorologique de Belgique   (Belgium)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROLOGY; PRECIPITATION (CLIMATOLOGY); SPATIOTEMPORAL ANALYSIS; VARIOGRAM;

BELGIUM; BENELUX; EURASIA; EUROPE; WESTERN EUROPE;

EID: 34548773950     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-14-621-2007     Document Type: Article

References (44)

1. Ancona-Navarrete, M. A. and Tawn, J. A.: Diagnostics for pairwise extremal dependence in spatial processes, Extremes, 5, 271-285, 2002.
2. Beirlant J., Goegebeur, Y., Segers, J., and Teugels, J.: Statistics of Extremes: Theory and Applications, Wiley Series in Probability and Statistics, 2004.
3. Buishand, A.: Bivariate extreme-value data and the station-year method, J. Hydrol., 69, 77-95, 1984.
4. Buishand, A.: Bivariate extreme-value data and the station-year method, Statistica Neerlandica, 43, 1-30, 1989.
5. Capéraà, P., Fougères, A. L., and Genest, C.: A nonparametric estimation procedure for bivariate extreme value copulas, Biometrika, 84, 567-577, 1997.
6. Chilès, J.-P. and Delfiner, P.: Geo statistics: Modeling Spatial Uncertainty, John Wiley & Sons Inc., New York, A Wiley-Interscience Publication, 1999.
7. Coles, S. and Casson, E. A.: Spatial regression for extremes, Extremes, 1, 339-365, 1999.
8. Coles, S. G., Heffernan, J. E., and Tawn, J. A.: Dependence measures for extreme value analyses, Extremes, 2, 339-365, 1999.
9. Coles, S. G.: An introduction to statistical, modeling of extreme values, Springer Series in Statistics, 208 p, 2001.
10. Coles, S. G. and Tawn, J. A.: Statistics of coastal flood prevention, Phil. Trans. R. Soc. Lond. A, 332, 457, 1990.
11. Cooley D., Naveau, P., and Poncet, P.: Variograms for spatial max-stable random fields, Chapter of the book Statistics for dependent data (Lecture Notes In Statistics, Springer), 2006.
12. Cooley, D., Nychka, D., and Naveau, P.: Bayesian Spatial Modeling of Extreme Precipitation Return Levels, J. Am. Statist. Assoc., in press, 2007.
13. Cressie, N. A. C.: Statistics for Spatial Data, John Wiley & Sons Inc., New York, 1993.
14. Davis, R. and Resnick, S.: Prediction of stationary max-stable processes, Ann. Applied Probab., 3, 497-525, 1993.
15. de Haan, L. and Pereira, T.: Spatial extremes: the stationary case, Ann. Statist., 34, 1, 146-168, 2006.
16. Demarée, G. R.: Le pluviographe centenaire du plateau d'Uccle: son histoire, ses données et ses applications, La Houille Blanche, 4, 1-8, 2003.
17. Dupriez, G. L. and Demarée, G. R.: Totaux pluviométriques sur des périodes continues de 1 à 30 jours. Vol. I: Analyse de 11 séries pluviométriques de plus de 80 ans, Miscelanea Série A, 8, 21 pp, 1988.
18. Dupriez, G. L. and Demarée, G. R.: Totaux pluviométriques sur des périodes continues de 1 à 30 jours. Vol. I: Analyse de 11 séries pluviométriques d'au moins 30 ans, Miscelanea Série A, 9, 27 pp., 1989.
19. Embrechts, P., Klüppelberg, C., and Mikosch, T.: Modelling Extremal Events for Insurance and Finance, volume 33 of Applications of Mathematics, Springer-Verlag, Berlin, 1997.
20. Fougères, A.: Multivariate extremes, in: Extreme Values in Finance, Telecommunications and the Environment, edited by: Finkenstadt, B. and Rootzen, H., 373-388, Chapman and Hall CRC Press, London, 2004.
21. Gellens, D.: Trend and correlation analysis of k-day extreme precipitation over Belgium, Theor. Appl. Climatol., 66, 117-129, 2000.
22. Gellens, D.: Etude des précipitations extrêmes. Etablissement des fractiles et des périodes de retour dévénements pluviométriques, PhD thesis, ULB, 242 pp, 2003.
23. Gumbel, E. J.: Distributions des valeurs extrêmes en plusieurs dimensions, Publ. Inst. Statist. Univ. Paris, 9, 171-173, 1960.
24. Hall, P. and Tajvidi, N.: Distribution and dependence function estimation for bivariate extreme-value distributions, Bernoulli, 6, 835-844, 2000.
25. Heffernan, J. E. and Tawn, J. A.: A conditional approach for multivariate extreme values, J. Roy. Statist. Soe. Ser. B, 66, 497-546, 2004.
26. Hsing, T., Kluppelberg, C., and Kuhn, G.: Dependence estimation and vizualisation in multivariate extremes with applications to financial data, Extremes, 7, 99-121, 2004.
27. Joe, H.: Parametric family of multivariate distributions with given margins, J. Multivariate Anal., 46, 262-282, 1993.
28. Katz, R., Parlange, M., and Naveau, P.: Extremes in hydrology, Adv. Water Resour., 25, 1287-1304, 2002.
29. Kharin, V. V., Zwiers, F. W., Zhang, X., and Hegerl, G. C.: Changes in temperature and precipitation extremes in the IPCC ensemble of global coupled model simulations, J. Climate, 20, 1419-1444, 2007.
30. Mann, H. B.: Nonparametric test against trend, Econometrica, 13, 245-259, 1945.
31. Mikosch, T.: Copulas: Tales and facts, Extremes, 9, 3-20, 2006.
32. Pickands III, J.: Multivariate extreme value distributions, Bull. Inst. Internat. Statist., 49, 859-878, 1981.
33. Resnick, S.: Extreme Values, Regular Variation, and Point Processes, Springer-Verlag, New York, 1987.
34. Schlather, M.: Models for stationary max-stable random fields, Extremes, 5, 33-44, 2002.
35. Schlather, M. and Tawn, J.: A dependence measure for multivariate and spatial extreme values: Properties and inference, Biometrika, 90, 139-156, 2003.
36. Schmitt, F., Vannitsem, S., and Barbosa, A.: Modeling of rainfall time series using two-state renewal processes and multifractals, J. Geophys. Res., 103, 23 181-23 193, 1998.
37. Smith, R.: Statistics of extremes, with applications in environment, insurance and finance, in: Extreme Values in Finance, Telecommunications and the Environment, edited by: Finkenstadt, B. and Rootzen, H, 1-78, Chapman and Hall CRC Press, London, 2004.
38. Sneyers, R.: Sur l'analyse statistique des séries d'observations, OMM, Note technique, 143, 192 p., 1975.
39. Sneyers, R., Vandiepenbeeck, M., and Vanlierde, R.: Principal component analysis of Belgian rainfall, Theor. Appl. Climatol., 39, 199-204, 1989.
40. Stein, M. L.: Interpolation of Spatial Data. Some theory for Kriging, Springer-Verlag, New York, 1999.
41. Tawn, J. A.: Bivariate extreme value theory: Models and estimation, Biometrika, 75, 397-415, 1988.
42. Tawn, J. A.: Modelling multivariate extreme value distributions, Biometrika, 77, 245-253, 1990.
43. Vannitsem, S.: Statistical properties of the temperature maxima in an intermediate order Quasi-Geostrophic model, Tellus, 59A, 80-95, 2007.
44. Wackernagel, H.: Multivariate Geostatistics. An Introduction with Applications, Springer, Heidelberg, third edition, 2003.