Accession Number:

ADA071026

Title:

Moments of the Random Proportion of an Arc Which Is in the Shadows Cast by Randomly Located Disks of Random Size.

Descriptive Note:

Final rept.,

Corporate Author:

BATTELLE COLUMBUS LABS OHIO

Personal Author(s):

• Zacks,S.

Report Date:

1979-03-01

Pagination or Media Count:

17.0

Abstract:

The present paper is devoted to the study of some properties of the distribution of the total portion of an arc length which is under shadow. The total portion of an arc which is under shadow or under light is a random variable having a distribution which is determined by the stochastic properties of the shadow casting objects. In the present Technical Report we show how the moments of this distribution can be determined. Explicit formulas are given for the expection and variance of the total portion in the light, or any specified arc on the circumference of the circle. Preliminary results on the actual distribution are available, but will be provided in a different paper. Author

Descriptors:

• *VISUAL SURVEILLANCE
• *OPTICAL COUNTER COUNTERMEASURES
• LAND WARFARE
• STOCHASTIC PROCESSES
• TREES
• APPROXIMATION(MATHEMATICS)
• TACTICAL ANALYSIS
• MASKING
• SHADOWS
• FORESTS

Subject Categories:

• Countermeasures
• Optical Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE