Some Characteristics of the Elliptic Gaussian Distribution

by R. N. Snow

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An extension of RM-330, The Circular Coverage Function. Although it is usually satisfactory to approximate the distribution of the point of impact of bombs, missiles, and other projectiles by a circular Gaussian (normal) distribution, there are cases in which the dispersions in distance and in azimuth are so unequal that approximation by means of an elliptical Gaussian distribution is a significant improvement. This memorandum evaluates the probability that a missile will land within a circle if it is aimed at the center and subjected to an elliptical Gaussian impact probability distribution. A table of the elliptic coverage function is provided and illustrated in graphical form.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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