A Hierarchical Model for Serially-Dependent Extremes: A Study of Heat Waves in the Western US

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 19, Issue 1, 2014, Pages 119-135

  Reich, Brian J ^a   Shaby, Benjamin A ^b   Cooley, Daniel ^c  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c Veterinary Dentistry and Oral Surgery   (United States)

Author keywords

Bayesian modeling; Climate change; Generalized Pareto distribution; Markov model

Indexed keywords

BAYESIAN ANALYSIS; CLIMATE CHANGE; EXTREME EVENT; HEAT ISLAND; HIERARCHICAL SYSTEM; MARKOV CHAIN; NUMERICAL MODEL;

UNITED STATES;

EID: 84896713627     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1007/s13253-013-0161-y     Document Type: Article

References (29)

1. Beirlant, J., Goegebeur, Y., Segers, J., Teugels, J., Waal, D. D., and Ferro, C. (2004), Statistics of Extremes: Theory and Applications, New York: Wiley.
2. Bobb, J. F., Dominici, F., and Peng, R. D. (2011), "A Bayesian Model Averaging Approach for Estimating the Relative Risk of Mortality Associated with Heat Waves in 105 U. S. Cities," Biometrics, 67, 1605-1616.
3. Bortot, P., and Gaetan, C. (2013, accepted), "A Latent Process Model for Temporal Extremes." Scandinavian Journal of Statistics.
4. Chavez-Demoulin, V., and Davison, A. C. (2012), "Modelling Time Series Extremes," REVSTAT, 10, 109-133.
5. Coles, S. (2001), An Introduction to Statistical Modeling of Extreme Values. Springer Series in Statistics, London: Springer.
6. Coles, S. G., Heffernan, J., and Tawn, J. (1999), "Dependence Measures for Extreme Value Analysis," Extremes, 2, 339-365.
7. Davison, A., and Smith, R. (1990), "Models for Exceedances Over High Thresholds," Journal of the Royal Statistical Society: Series B, 393-442.
8. Easterling, D., Meehl, G., Parmesan, C., Changnon, S., Karl, T., and Mearns, L. (2000), "Climate Extremes: Observations, Modeling, and Impacts," Science, 289, 2068-2074.
9. Fawcett, L., and Walshaw, D. (2006), "Markov Chain Models for Extreme Wind Speeds," EnvironMetrics, 17, 795-809.
10. - (2007), "Improved Estimation for Temporally Clustered Extremes," EnvironMetrics, 18, 173-188.
11. Ferro, C. A. T., and Segers, J. (2003), "Inference for Clusters of Extreme Values," Journal of the Royal Statistical Society: Series B, 65, 545-556.
12. Fougères, A.-L., Nolan, J. P., and Rootzén, H. (2009), "Models for Dependent Extremes Using Stable Mixtures," Scandinavian Journal of Statistics, 36, 42-59.
13. Frich, P., Alexander, L., Della-Marta, P., Gleason, B., Haylock, M., Klein Tank, A., and Peterson, T. (2002), "Observed Coherent Changes in Climatic Extremes During the Second Half of the Twentieth Century," Climate Research, 19, 193-212.
14. Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (2004), Bayesian Data Analysis, Boca Raton: CRC Press.
15. de Haan, L., and Ferreira, A. (2006), Extreme Value Theory. Springer Series in Operations Research and Financial Engineering, New York: Springer.
16. Huser, R., and Davison, A. (2013), "Space-Time Modelling of Extreme Events," Journal of the Royal Statistical Society: Series B. doi: 10. 1111/rssb. 12035.
17. Jeon, S., and Smith, R. (2013, submitted), "Dependence Structure of Spatial Extremes Using Threshold Approach." arXiv: 1209. 6344.
18. Kunkel, K. E., Liang, X.-Z., and Zhu, J. (2010), "Regional Climate Model Projections and Uncertainties of Us Summer Heat Waves" Journal of Climate, 23, 4447-4458.
19. Meehl, G. A., and Tebaldi, C. (2004), "More Intense, More Frequent, and Longer Lasting Heat Waves in the 21st Century," Science, 305, 994-997.
20. Padoan, S., Ribatet, M., and Sisson, S. (2010), "Likelihood-Based Inference for Max-Stable Processes," Journal of the American Statistical Association, 105, 263-277.
21. Peng, R., Bobb, J., Tebaldi, C., McDaniel, L., Bell, M., and Dominici, F. (2011), "Toward a Quantitative Estimate of Future Heat Wave Mortality Under Global Climate Change," Environmental Health Perspectives, 119, 701.
22. Reich, B., and Shaby, B. (2013), "A Hierarchical Max-Stable Spatial Model from Extreme Precipitation," The Annals of Applied Statistics, 6, 1430-1451.
23. Resnick, S. (1987), Extreme Values, Regular Variation, and Point Processes, New York: Springer.
24. Ribatet, M., Cooley, D., and Davison, A. C. (2011), "Bayesian Inference for Composite Likelihood Models and an Application to Spatial Extremes," Statistica Sinica, 22, 813-846.
25. Schlather, M., and Tawn, J. (2003), "A Dependence Measure for Multivariate and Spatial Extreme Values: Properties and Inference," Biometrika, 90, 139-156.
26. Schlenker, W., and Roberts, M. (2009), "Nonlinear Temperature Effects Indicate Severe Damages to Us Crop Yields Under Climate Change," Proceedings of the National Academy of Sciences, 106, 15594-15598.
27. Shaby, B. A., and Reich, B. J. (2013), "Bayesian Spatial Extreme Value Analysis to Assess the Changing Risk of Concurrent Extremely High Temperatures Across Large Portions of European Cropland," EnvironMetrics. doi: 10. 1002/env. 2178.
28. Smith, R., Tawn, J., and Coles, S. (1997), "Markov Chain Models for Threshold Exceedances," Biometrika, 84, 249.
29. Stephenson, A. G. (2009), "High-Dimensional Parametric Modelling of Multivariate Extreme Events," Australian & New Zealand Journal of Statistics, 51, 77-88.