SOME PROPERTIES OF RAYLEIGH DISTRIBUTED RANDOM VARIABLES AND OF THEIR SUMS AND PRODUCTS

Abstract

Physical phenomena which can be described by the Rayleigh density function exist in many areas of study; e.g., noise theory, lethality, radar return, etc. This report gives some of the basic properties of the Rayleigh probability density function. It includes the functional relationships between the various parameters and graphical displays of these relationships. The density functions for the sum and the product of two Rayleigh distributed random variables and the relationships between their various parameters are described. Illustrations of the use of the density functions are given. Also included are complete tables of the Rayleigh density function and distribution.

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Document Details

Document Type
Technical Report
Publication Date
Apr 07, 1967
Accession Number
AD0650090

Entities

People

  • C. O. Archer

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Distribution Functions
  • Equations
  • Integrals
  • Mathematics
  • Miss Distance
  • New York
  • Normal Density Functions
  • Probability
  • Probability Density Functions
  • Probability Distribution Functions
  • Probability Distributions
  • Program Management
  • Random Variables
  • Standards
  • Statistics

Readers

  • Approximation Theory.
  • Radio communications and signal processing.
  • Regression Analysis.