Statistical Analysis of Extreme Values

By Katherine S. Campbell. Technometrics, 2002

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IDF relationships using bivariate copula for storm events in Peninsular Malaysia (2012, background): “Statistical analysis of extreme data is important in various disciplines including hydrology, engineering and environmental science (Reiss and Thomas, 2007).”
Power-law distributions in binned empirical data (2012, methodology): “l also be high. Both eﬀects are small when b min coincides with the beginning of the power-law behavior. To illustrate the accuracy of this method, we compare its performance with the one proposed by Reiss and Thomas (2007). Their methodology (the RT method) selects the bin boundary with index min ∈”
Joint modelling of wave spectral parameters for extreme sea states (2010, background): “Numerous authors (e.g. Reiss and Thomas 2001), Ledford and Tawn [1996], Ledford and Tawn [2003]) have shown that this approach is adequate for many applications in low dimensions.”
A new generation of climate‐change experiments: events, not trends (2007, background): “Extremeness of events can be determined by statistical extremity with respect to a historical reference period (eg extraordinary deviation from the median of probability distributions; Gumbel 1958; Reiss and Thomas 1997).”