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

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)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA071026

Entities

People

  • S. Zacks

Organizations

  • Battelle Memorial Institute

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coverings
  • Distribution Functions
  • Line Of Sight
  • Mathematics
  • Military Research
  • Operations Research
  • Probability
  • Random Variables
  • Statistics
  • Surveillance
  • Systems Analysis
  • Targets

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Statistical inference.