THE NORMAL BIVARIATE DENSITY FUNCTION AND ITS APPLICATIONS TO WEAPON SYSTEMS ANALYSIS, A REVIEW

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Abstract:

The normal bivariate density function is derived from a priori considerations. It is discussed in terms of probability area in a plane, and as a correlation surface. Several numerical methods of solving the normal bivariate distribution double integral are presented, and a curve is included for converting elliptical error distributions to circular probable errors. Regression and correlation coefficients are discussed. Re lative to weapons systems analysis, examples are given of uses in studying impact and location errors. Analyses of search and detection for stationary and moving objects are given specific mathematical treatment. An Appendix examines the elliptical properties of normally correlated distributions. The investigation has resulted in a reference paper for the normal bivariate density function.

Author(s):
Sebring, H. C.
Author Organization(s):
GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV
Supplementary Note:
Presented at the 590th Meeting of the American Mathematical Society, April 16-19, 1962, Atlantic City, New Jersey.
Pagination:
0031

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Monitor Series:
XD
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_1.2_Force Preparation
Communities of Interest:
Weapons Technologies
Descriptor(s):
*STATISTICAL DISTRIBUTIONS, AREA COVERAGE, DETECTION, FUNCTIONS(MATHEMATICS)
Field(s)/Group(s):
Statistics and Probability
Report Date:
1962 Apr 10