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):

Report Date:

1973-08-15

Pagination or Media Count:

28.0

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

Subject Categories:

  • Statistics and Probability
  • Military Operations, Strategy and Tactics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE