On the Distribution of the Bivariate Range

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Abstract
The distribution of the bivariate range R (defined below) is evidently unknown. This note discusses two approximations based on Monte Carlo moment data provided by the late S. S. Wilks. One approximation is based on an Edgeworth's series expansion and the other on a Chi-approximation. Upper bounds for the percentiles of R are discussed. Also given is a brief summary of other measures of dispersion of impact, points randomly distributed on the plane of a target. Two such measures relating to the conves hull of the impact points are proposed.

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