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TABLES OF OFFSET CIRCLE PROBABILITIES FOR A NORMAL BIVARIATE ELLIPTICAL DISTRIBUTION
ARMY ELECTRONICS COMMAND FORT MONMOUTHNJ
This report consists of two major parts. The first deals with the development of formulas for computing the probability that a point taken from a normal bivariate elliptical distribution with specified mean and standard deviations shall fall within a circle of given radius whose center is displaced a given distance from the center of the distribution. The second part consists entirely of probability tables. These tables will prove especially useful in dealing with problems involving accuracy studies of weapons systems and with other problems notably in meteorological studies. The events in many practical probability problems are best described by a normal bivariate elliptical distribution with unequal standard deviations. For example, one may be confronted with the problem of evaluating the probability that a missile will hit a circle of a specified radius whose center aim point is displaced a given distance from the mean of impact points of a normal bivariate elliptical distribution. In this example the impact points are governed by a normal Gaussian bivariate elliptical density function the mean of this distribution is not zero i.e., the center of the distribution is not about the aim point.
Availability: Document partially illegible.