C. Lepore, D. Veneziano, and A. Langousis, Annual rainfall maxima: Practical estimation based on large-deviation results, European Geosciences Union General Assembly 2009, Geophysical Research Abstracts, Vol. 11, Vienna, European Geosciences Union, 2009.
In a separate communication (Veneziano et al., “Annual Rainfall Maxima: Large-deviation Alternative to Extreme-Value and Extreme-Excess Methods,” EGU 2009), we show that, at least for scale-invariant rainfall models, classical extreme value analysis based on Gumbel’s extreme value (EV) theory and peak-over-threshold (PoT) analysis based on Pickands’ extreme excess (EE) theory do not apply to annual rainfall maxima (AM). A more appropriate theoretical setting is provided by large-deviation (LD) theory. This paper delves with some practical implications of these findings.