Accession Number : AD0691770

Title :   PROBABILITY DENSITY FUNCTIONS OF n VECTORS ADDED WITH RANDOM DIRECTIONS.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Wright,Edward L.

Report Date : 17 JUL 1969

Pagination or Media Count : 15

Abstract : The probability density function of the resultant amplitude of n vectors in two dimensions, added with random directions, was calculated through an integral transformation which takes a probability density function for k components into a probability density function for k + 1 components. Examples were calculated to show the qualitative aspects of the density functions for 2, 3, and 4 components, with arbitrarily given magnitudes. For n = or > 5, the probability distribution rapidly approaches the Rayleigh distribution. The method also allows the use of a Rayleigh vector as one of the components. (Author)

Descriptors :   (*VECTOR ANALYSIS, PROBABILITY DENSITY FUNCTIONS), (*PROBABILITY DENSITY FUNCTIONS, NUMERICAL ANALYSIS), INFORMATION THEORY, ELECTROMAGNETIC FIELDS, ACOUSTICS, STATISTICAL DISTRIBUTIONS, INTEGRAL TRANSFORMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE