# 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

# Descriptors:

# Subject Categories:

- Statistics and Probability
- Military Operations, Strategy and Tactics