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Naveau et al. (2016) have recently developed a class of methods, based onextreme-value theory (EVT), for capturing low, moderate, and heavy rainfallsimultaneously, without the need to choose a threshold typical to EVT methods.We analyse the performance of Naveau et al.'s methods, along with mixtures ofgamma distributions, by fitting them to marginal non-zero rainfall from 16,968sites spanning the Australian continent and which represent a wide variety ofrainfall patterns. Performance is assessed by the distribution across sites ofthe log ratios of each method's estimated quantiles and the empiricalquantiles. We do so for quantiles corresponding to low, moderate, and heavyrainfall. Under this metric, mixtures of three and four gamma distributionsoutperform Naveau et al's methods for small and moderate rainfall, and provideequivalent fits for heavy rainfall.

A comparison of methods for modeling marginal non-zero daily rainfall across the Australian continent