Accession Number : AD0766492

Title :   Lower Confidence Limits for the Impact Probability Within a Circle in the Normal Case.

Descriptive Note : Technical rept.,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C DEPT OF STATISTICS

Personal Author(s) : Zacks,S. ; Solomon,H.

Report Date : 15 AUG 1973

Pagination or Media Count : 28

Abstract : Lower confidence limits are derived for the impact probability within a circle of fixed radius in the bivariate normal case with zero mean vector. For independent coordinates and known ratio of variances, the lower confidence limit is a strongly consistent estimator of the impact probability and is uniformly most accurate (UMA). When the ratio of the variances is also unknown, the lower confidence limit is a strongly consistent estimator of the impact probability. Some discussion is provided when the correlation between the coordinates is unknown. A Table of the impact probability function is provided which can be employed for both point estimation and for obtaining lower confidence limits and the use of the table is demonstrated. A FORTRAN program for the computation of the impact probability is included. (Author)

Descriptors :   (*CONFIDENCE LIMITS, *IMPACT PREDICTION), PROBABILITY DENSITY FUNCTIONS, MATRICES(MATHEMATICS), RANDOM VARIABLES, COMPUTER PROGRAMS

Subject Categories : Statistics and Probability
      Military Operations, Strategy and Tactics

Distribution Statement : APPROVED FOR PUBLIC RELEASE