Nonparametric spatial models for extremes: Application to extreme temperature data

Extremes

Volumn 16, Issue 1, 2013, Pages 75-101

  Fuentes, Montserrat ^a   Henry, John ^a   Reich, Brian ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Dirichlet processes; Extreme temperatures; Nonstationarity; Return levels; Spatial models

Indexed keywords

EID: 84874191268     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-012-0154-1     Document Type: Article

References (38)

1. An, Q., Wang, C., Shterev, I., Wang, E., Carin, L., Dunson, D.: Hierarchical kernel stick-breaking process for multi-task image analysis. In: International Conference on Machine Learning (ICML) (2009, to appear).
2. Beirlant, J., Goegebeur, Y., Segers, J., Teugels, J.: Statistics of Extremes. Theory and Applications. Wiley, New York (2004).
3. Blackwell, D. H., MacQueen, J. B.: Discreteness of Ferguson selections. Ann. Stat. 1, 356-358 (1973).
4. Buishand, D. H. L., Zhou, C.: On spatial extremes: with application to a rainfall problem. Ann. Appl. Probab. 2, 624-642 (2008).
5. Climate Change Science Program (CCSP): Weather and Climate Extremes in a Changing Climate Regions of Focus: North America, Hawaii, Caribbean, and U. S. Pacific Islands. U. S. Goverments CCSP (2008).
6. Cooley, D. Nychka, D., Naveau, P.: Bayesian spatial modeling of extreme precipitation return levels. J. Am. Stat. Assoc. 102, 824-840 (2007).
7. Cooley, D., Naveau, P., Davis, R.: Dependence and Spatial Prediction in Max-Stable Random Fields. University of Colorado (2008).
8. Dai, A., Wigley, T. M. L., Boville, B. A., Kiehl, J. T., Buja, L. E.: Climates of the 20th and 21st centuries simulated by the NCAR climate system model. J. Climate 14, 485-519 (2001).
9. Davison, A. C., Smith, R. L.: Models for exceedances over high thresholds. J. R. Stat. Soc. B 15, 393-442 (1990).
10. Demarta, S., Mcneil, A. J.: The t copula and related copulas. Int. Stat. Rev. 73(1), 111 (2005).
11. Dunson, D. B., Park, J. H.: Kernel stick-breaking processes. Biometrika 95, 307-323 (2008).
12. x data in the UK. Environmetrics 20(4), 428-444 (2009).
13. Eastoe, E. F., Tawn, J. A.: Modelling non-stationary extremes with application to surface-level ozone. JRSS C 58(1), 25-45 (2009).
14. Ferguson, T. S.: A Bayesian analysis of some nonparametric problems. Ann. Stat. 1, 209-230 (1973).
15. Fisher, R. A., Tippett, L. H. C.: Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proc. Camb. Philos. Soc. 24, 180-190 (1928).
16. Fuentes, M., Reich, B.: Multivariate spatial nonparametric modelling via kernel processes mixing. Mimeo Series #2622 Statistics Department, NCSU. http://www. stat. ncsu. edu/library/mimeo. html (2008).
17. Gelfand, A. E., Kottas, A., MacEachern, S. N.: Bayesian nonparametric spatial modeling with Dirichlet process mixing. J. Am. Stat. Assoc. 100, 1021-1035 (2005).
18. Griffin, J. E., Steel, M. F. J.: Order-based dependent Dirichlet processes. J. Am. Stat. Assoc. 101, 179-194 (2006).
19. Gilleland, E., Katz, R. W.: Analyzing seasonal to interannual extreme weather and climate variability with the extremes toolkit. NCAR tech. report. www. assessment. ucar. edu/pdf/Gilleland2006revised. pdf (2006).
20. Houghton, J. T., Ding, Y., Griggs, D. J., Noguer, M., van der Linden, P. J., Da, X., Maskell, K., Johnson, C. A.: Climate Change 2001: The Scientific Basis. Intergovernmental Panel on Climate Change (IPCC) Third Assessment Report. www. grida. no/publications/other/ipcc_tar/ (2001).
21. Ishwaran, H., James, L.: Gibbs-sampling methods for stick-breaking priors. J. Am. Stat. Assoc. 96, 161-173 (2001).
22. Joe, H.: Multivariate Models and Dependence Concepts. Chapman & Hall, London (1997).
23. Kharin, V., Zwiers, F.: Estimating extremes in transient climate change simulations. J. Climate 18, 1156-1173 (2005).
24. MacEachern, S. N.: Computational methods for mixture of Dirichlet process models. In: Dey, D., Müller, P., Sinha, D. (eds.) Practical Nonparametric and Semiparametric Bayesian Statistics, pp. 23-44. Springer, New York (1998).
25. MacEachern, S. N.: Dependent nonparametric processes. In: ASA Proceedings of the Section on Bayesian Statistical Science. American Statistical Association, Alexandria (1999).
26. Mitchell, J. F. B., Manabe, S., Meleshko, V., Tokioka, T.: Equilibrium climate change and its implications for the future. In: Houghton, J. L, Jenkins, G. J., Ephraums, J. J. (eds.) Climate Change. The IPCC Scientific Assessment. Contribution of Working Group 1 to the First Assessment Report of the Intergovernmental Panel on Climate Change, pp. 137-164. Cambridge University Press, Cambridge (1990).
27. Nelsen, R.: An Introduction to Copulas. Springer, New York (1999).
28. Papaspiliopoulos, O., Roberts, G.: Retrospective MCMC for Dirichlet process hierarchical models. Biometrika 95, 169-186 (2008).
29. Parmesan, C., Root, T. L., Willing, M. R.: Impacts of extreme weather and climate on terrestrial biota. Bull. Am. Meteorol. Soc. 81, 443-450 (2000).
30. Reich, B. J., Fuentes, M.: A multivariate semiparametric Bayesian spatial modeling framework for hurricane surface wind fields. Ann. Appl. Stat. 1, 249-264 (2007).
31. Sang, H., Gelfand, A. E.: Hierarchical modeling for extreme values observed over space and time. Environ. Ecol. Stat. 16(3), 407-426 (2009).
32. Schlather, M., Tawn, J. A.: A dependence measure for multivariate and spatial extreme values: properties and inference. Biometrika 90, 139-156 (2003).
33. Sethuraman, J.: A constructive definition of Dirichlet priors. Stat. Sin. 4, 639-650 (1994).
34. Smith, R. L.: Max-stable processes and spatial extremes. Unpublished manuscript. Tech. report at University of North Carolina, Chapel Hill (1990).
35. Tiago de Oliveira, J.: Bivariate and multivariate extremal distribution. In: Patil, G., et al. (eds.) Statistical Distributions in Scientific Work, vol. 1, pp. 355-361. Reidel, Amsterdam (1975).
36. van Vliet, A. J. H., Leemans, R.: Rapid species responses to changes in climate require stringent climate protection targets. In: Schellnhuber, H. J., Cramer, W., Nakicinovic, N., Wigley, T., Yohe, G. (eds.) Avoiding Dangerous Climate Change, pp. 135-143. Cambridge University Press, Cambridge (2006).
37. Yonetani, T., Gordon, H. B.: Simulated changes in the frequency of extremes and regional features of seasonal/annual temperature and precipitation when atmospheric CO2 is doubled. J. Climate 14, 1765-1779 (2001).
38. Zhang, J., Craigmile, P. F., Cressie, N.: Loss function approaches to predict a spatial quantile and its exceedance region. Technometrics 50 (2), 216-227 (2008).