Statistical Analysis of Radial Error in Two Dimensions
ARMY MATERIEL TEST AND EVALUATION DIRECTORATE WHITE SANDS MISSILE RANGE NM
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This is an expository report on the statistics used in an analysis of two-dimensional radial error or radial miss-distance. The Rayleigh distribution is the basis of many of the estimators or formulas. The Circular Probable Error CPE, because of its frequent use in estimating impact accuracy of weapon systems, is given prominence in the following areas 1 Estimators for the CPE under various conditions, 2 Confidence intervals and hypothesis testing on the CPE, 3 The OC curve for the CPE, 4 Sample size problems associated with the CPE, and 5 Proportion of hits within a specified CPE circle when a bias exists. An estimator for the CPE using the Type I Asymptotic Distribution of Minimum Values Gumbel distribution is derived. Several numerical examples are given for various types of problems.
- Statistics and Probability