Abstract
Abstract Theories on drop formation and quantitative rain estimation would require knowledge not only of the statistical size distribution of drops, but also of their statistical spatial distribution, which, in turn, determines the statistical fluctuations of the echoes detected by meteorological radar. Of particular interest is the question of whether such a spatial distribution can be assumed to be either statistically homogeneous or fractal. To analyze the spatial patterns of raindrops, a reasonable and immediate way of proceeding in the estimation of the fractal dimension is through the computation of the correlation integral. In any experimental observation of raindrop distribution, only a finite number of drops in a given space–time volume can be observed. Consequently, in this situation, the estimated value D of the fractal dimension differs from the true value Dt because of systematic (s) and random (r) errors. This paper shows that these errors can be ascribed to the finite number of raindrops an...
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