References

Carvalho, Miguel de, Boris Oumow, Johan Segers, and Michał Warchoł. 2013. “A Euclidean Likelihood Estimator for Bivariate Tail Dependence.” Communications in Statistics - Theory and Methods 42 (7): 1176–92. https://doi.org/10.1080/03610926.2012.709905.

Coles, Stuart. 2001. An Introduction to Statistical Modeling of Extreme Values. London: Springer–Verlag.

Cox, D. R., V. S. Isham, and P. J. Northrop. 2002. “Floods: Some Probabilistic and Statistical Approaches.” Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 360 (1796): 1389–1408. https://doi.org/10.1098/rsta.2002.1006.

Davison, A. C., and R. L. Smith. 1990. “Models for Exceedances over High Thresholds (with Discussion).” Journal of the Royal Statistical Society. Series B. (Methodological) 52 (3): 393–442. http://www.jstor.org/stable/2345667.

Dombry, Clément, Sebastian Engelke, and Marco Oesting. 2016. “Exact Simulation of Max-Stable Processes.” Biometrika 103 (2): 303–17. https://doi.org/10.1093/biomet/asw008.

Dombry, Clément, and Mathieu Ribatet. 2015. “Functional Regular Variations, Pareto Processes and Peaks over Threshold.” Statistics and Its Interface 8 (1): 9–17. https://doi.org/http://dx.doi.org/10.4310/SII.2015.v8.n1.a2.

Dupuis, D. J. 1999. “Exceedances over High Thresholds: A Guide to Threshold Selection.” Extremes 1 (3): 251–61. https://doi.org/10.1023/A:1009914915709.

Einmahl, John H. J., and Johan Segers. 2009. “Maximum Empirical Likelihood Estimation of the Spectral Measure of an Extreme-Value Distribution.” Ann. Statist. 37 (5B): 2953–89. https://doi.org/10.1214/08-AOS677.

Ferreira, Ana, and Laurens de Haan. 2014. “The Generalized Pareto Process; with a View Towards Application and Simulation.” Bernoulli 20 (4): 1717–37. https://doi.org/10.3150/13-BEJ538.

Fondeville, Raphaël de. 2018. “Functional Peaks-over-Threshold Analysis for Complex Extreme Events.” PhD thesis, Lausanne: EPFL; MATH. https://doi.org/10.5075/epfl-thesis-8927.

Gabda, Darmesah, Ross Towe, Jennifer Wadsworth, and Jonathan Tawn. 2012. “Discussion of ‘Statistical Modeling of Spatial Extremes’ by A. C. Davison, S. A. Padoan and M. Ribatet.” Statistical Science 27 (2): 189–92. https://doi.org/10.1214/12-STS376B.

Haan, L. de. 1984. “A Spectral Representation for Max-Stable Processes.” Ann. Probab. 12 (4): 1194–1204. http://links.jstor.org/sici?sici=0091-1798(198411)12:4<1194:ASRFMP>2.0.CO;2-R&origin=MSN.

Ho, Zhen Wai Olivier, and Clément Dombry. 2019. “Simple Models for Multivariate Regular Variation and the Hüsler–Reiss Pareto Distribution.” Journal of Multivariate Analysis 173: 525–50. https://doi.org/https://doi.org/10.1016/j.jmva.2019.04.008.

Northrop, Paul J., and Claire L. Coleman. 2014. “Improved Threshold Diagnostic Plots for Extreme Value Analyses.” Extremes 17 (2): 289–303. https://doi.org/10.1007/s10687-014-0183-z.

Papastathopoulos, Ioannis, and Jonathan A. Tawn. 2013. “Extended Generalised Pareto Models for Tail Estimation.” Journal of Statistical Planning and Inference 143 (1): 131–43. https://doi.org/http://dx.doi.org/10.1016/j.jspi.2012.07.001.

Rootzén, Holger, Johan Segers, and Jennifer L. Wadsworth. 2018. “Multivariate Peaks over Thresholds Models.” Extremes 21 (1): 115–45. https://doi.org/10.1007/s10687-017-0294-4.

Scarrott, Carl, and Anna MacDonald. 2012. “A Review of Extreme-Value Threshold Estimation and Uncertainty Quantification.” REVSTAT – Statistical Journal 10 (1): 33–60. #https://www.ine.pt/revstat/pdf/rs120102.pdf#.

Schlather, Martin, and Jonathan A. Tawn. 2003. “A Dependence Measure for Multivariate and Spatial Extreme Values: Properties and Inference.” Biometrika 90 (1): 139–56. https://doi.org/10.1093/biomet/90.1.139.

Smith, Richard L. 1987. “Approximations in Extreme Value Theory.” Edited by University of North Carolina Chapel Hill Center for Stochastic Processes. https://www.dropbox.com/s/4t0cnuy3g9ny14u/Smith-1987-Approximations_in_extreme_value_theory.pdf?dl=0.

Wadsworth, J. L. 2016. “Exploiting Structure of Maximum Likelihood Estimators for Extreme Value Threshold Selection.” Technometrics 58 (1): 116–26. https://doi.org/10.1080/00401706.2014.998345.

Wadsworth, J. L., and J. A. Tawn. 2012. “Likelihood-Based Procedures for Threshold Diagnostics and Uncertainty in Extreme Value Modelling.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 74 (3): 543–67. https://doi.org/10.1111/j.1467-9868.2011.01017.x.

White, Halbert. 1982. “Maximum Likelihood Estimation of Misspecified Models.” Econometrica 50 (1): 1–25. http://www.jstor.org/stable/1912526.