An Immigration and Fragmentation Stochastic Process.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0721340
Entities
People
- D. W. Fairweather
- I. N. Shimi
Organizations
- Florida State University