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1. Introduction Estimates of precipitation derived from single-frequency radar observations are inherently uncertain. This is because to express accurately the distribution of the number of precipitation particles in an observation volume as a function of their sizes more than one variable is necessary, whereas single-frequency radars provide only one reflectivity observation per volume. Solid precipitation is characterized by an additional type of significant uncertainty stemming from the fact
1. Introduction Estimates of precipitation derived from single-frequency radar observations are inherently uncertain. This is because to express accurately the distribution of the number of precipitation particles in an observation volume as a function of their sizes more than one variable is necessary, whereas single-frequency radars provide only one reflectivity observation per volume. Solid precipitation is characterized by an additional type of significant uncertainty stemming from the fact