A two-compartment, irreversible flow model with clustering /

Bibliographic Details
Main Author: Ensor, Joe Edward, 1955-
Other Authors: Feldman, Richard M. (degree committee member.), Matis, James H. (degree committee member.), Newton, H. Joseph (degree committee member.)
Format: Thesis Book
Language:English
Published: 1989.
Subjects:
Online Access:ProQuest, Abstract
Link to OAKTrust copy
Description
Abstract:The usual stochastic form of compartmental models assumes a system with constant intensity rates where particles act independently of one another. These conditions do not adhere to the heterogeneous structure which can arise in nature; moreover, the particle count variability characterized by these basic models is often deficient in magnitude when compared to the observed phenomenon. An increase in particle count variability can be accomplished by incorporating a dependence between particles in their transition behavior. This dissertation is concerned with the development of the transition probabilities, random particle count moments and residence time distribution for a two-compartment, irreversible flow model with clustering. The application of this model, which achieves particle dependent transitions through particle clustering, is also addressed.
Item Description:Typescript (photocopy).
Vita.
"Major subject: Statistics."
Physical Description:x, 135 leaves : illustrations ; 29 cm
Bibliography:Includes bibliographical references.