Accession Number : AD0434059

Title :   THE CONVERGENCE OF A RANDOM DISTRIBUTION FUNCTION ASSOCIATED WITH A BRANCHING PROCESS,

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : Ney,P. E.

Report Date : 12 MAR 1964

Pagination or Media Count : 26

Abstract : A general branching process is constructed from the standard one by associating with each particle a ''type'', namely a point in a space which is taken to be d-dimensional Euclidian space. At any given time, each particle existing at that time is to be considered as located at a point in the given space. The diffusion of the particles throughout the space is shieded. The branching character of the process alone implies detailed results about its asymptotic behavior, without requiring any specific distribution assumptions. (Author)

Descriptors :   (*STATISTICAL FUNCTIONS, STATISTICAL PROCESSES), MATHEMATICAL MODELS, PROBABILITY, INTEGRAL EQUATIONS, NONLINEAR SYSTEMS, CASCADE STRUCTURES, STOCHASTIC PROCESSES

Distribution Statement : APPROVED FOR PUBLIC RELEASE