Accession Number : AD0721340

Title :   An Immigration and Fragmentation Stochastic Process.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Fairweather,D. W. ; Shimi,I. N.

Report Date : OCT 1970

Pagination or Media Count : 23

Abstract : A population of different types of particles is considered where immigration of the various particle types into the population is allowed. The immigration causes 'fragmentation' or branching of all the existing target particles in the population. An immigrating particle can also fragment into the different types. The joint moment generating function for the number of particles in the m-th generation, and the expected number of particles in the m-th generation are given. Asymptotic expected values, and limits of random variables for a k-type process in discrete random environment with and without immigration are obtained. (Author)

Descriptors :   (*STOCHASTIC PROCESSES, THEOREMS), MATRICES(MATHEMATICS), RANDOM VARIABLES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE