# Accession Number:

## AD0759989

# Title:

## Tolerance Limits for the Rayleigh (Radial Normal) Distribution with Emphasis on the CEP

# Descriptive Note:

## Technical rept.

# Corporate Author:

## NAVAL WEAPONS LAB DAHLGREN VA

# Personal Author(s):

# Report Date:

## 1973-05-01

# Pagination or Media Count:

## 20.0

# Abstract:

Problem of estimating the radius of a mean centered circle which will include 50 of the future rounds from a particular weapon under specified conditions. If the fall of shot tends to follow a circular normal distribution with standard deviation sigma, this is usually accomplished by estimating sigma withsigma hat from the results of test firings and then forming CEP 1.7774 sigma hat. CEP, the parameter estimated, is the radius of a mean centered circle which includes 50 of the bivariate probability which, of course, is taken to mean 50 of the future rounds from this weapon under similar conditions. While CEP is a valid point estimate of the radius of the 50 circle provided sigma hat is a valid estimate of sigma, it does not provide the analyst with any measure of confidence concerning his statement. Author Modified Abstract

# Descriptors:

# Subject Categories:

- Fire Control and Bombing Systems