Skewness and kurtosis of measured raindrop size distributions |
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| Institution: | 1. Aarhus University, Department of Bioscience, Ole Worms Allé 1, 8000 Aarhus C, Denmark;2. Tanzanian Fisheries Research Institute, P.O Box 90, Kigoma, Tanzania;3. Aarhus University, Department of Bioscience, Vejlsøvej 25, 8600 Silkeborg, Denmark;1. Department of Pharmacy Practice and Administration, Ernest Mario School of Pharmacy, Rutgers University, The State University of New Jersey, 160 Frelinghuysen Road, Piscataway, NJ 08854, USA;2. Department of Neurology, University of Medicine and Dentistry of New Jersey-Robert Wood Johnson Medical School, 125 Patterson Street, New Brunswick, NJ 08901, USA |
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| Abstract: | Skewness and kurtosis are used to investigate particle size distributions. A quantitative method is introduced to distinguish between a gamma distribution and an exponential (e.g. Marshall-Palmer) distribution. For this method, two “deviation coefficients” are introduced, which are the skewness and the square root of the kurtosis of the measured distributions divided by their values for an exponential distribution. The method is illustrated with data for raindrop size distributions from four case studies and demonstrates that the data are inadequately described by the Marshall-Palmer distribution, although it does appear to be an “equilibrium” distribution toward which steady precipitation appears to tend. |
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