Rainfall depth-duration-frequency curves and their uncertainties

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Spatial regression models for extreme precipitation in Belgium (2012, background): “…that annual maxima are spatially independent, the null hypothesis j1 = j2 = … = jns ≡ 4 of 17 j can be tested with the statistic [Buishand et al., 2009; Overeem et al., 2008] X 2 ¼ Xns i¼1 ĵ i jwð Þ2=s2 jið Þ; ð14Þ with jw the weighted average of the j i’s, relative to the record length, and…”
Bayesian estimation of rainfall intensity-duration-frequency relationships (2015, methodology): “To the best of our knowledge, the only contributions to this subject are provided in Overeem et al. (2008), and in a Bayesian framework, in Muller et al. (2008) and Lehmann et al. (2013).”
Design rainfall estimation in Australia: a case study using L moments and Generalized Least Squares Regression (2011, methodology): “More recently, Overeem et al. (2008) adopted GLSR to account for the correlation between the parameters of generalized extreme value (GEV) distribution, which led to uncertainties in design rainfalls being estimated by a bootstrap method in which the correlations of the parameters were explicitly ”
New asymptotic and preasymptotic results on rainfall maxima from multifractal theory (2009, background): “Methods to estimate extreme rainfall intensities from recorded annual maxima [e.g., Koutsoyiannis et al., 1998; Martins and Stedinger, 2000; Gellens, 2002; Overeem et al., 2008] are generally based on this result.”