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Masters Theses
Date of Award
8-1995
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Jan Rosinski
Committee Members
Samuel Jordan, Balram Rajput
Abstract
The theory of branching processes is a subfield of probability which tries to answer questions pertaining to the growth and decay of a general population. The purpose of this thesis is fourfold. First, a brief summary of the general theory of the branching process will be given. Second, some examples of branching processes will be given along with their applications. Third, the process of primary interest. the Galton/Watson branching process, will be given a thorough treatment. Fourth and finally, some simulations based on the discussion of the Galton/Watson model will be given, demonstrating the applicability of the developed theory to reality.
Recommended Citation
Louallen, Jeffrey T., "Survival and extinction : a brief discussion of branching processes. " Master's Thesis, University of Tennessee, 1995.
https://trace.tennessee.edu/utk_gradthes/11178