Generating functions in branching processes and birth and death processes
Date
2018
Authors
Docrat, Raeesa
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Abstract
"If I have seen further, it is by standing upon the shoulders of giants"
-Sir Isaac Newton
Birth and death processes and branching processes are areas of stochastic
processes that can be applied to a multitude of elds and disciplines, such as
biology, economics and engineering. In general, the analysis of distributions
and moments of these processes are di cult to obtain in explicit form. The
use of generating functions makes computation much easier. The dissertation
looks at the theory, application and innovation of using generating functions
in the analysis of branching and birth and death processes.
Description
A dissertation submitted to the Faculty of Science, University
of the Witwatersrand, in ful llment of the requirements for the
degree of Master of Science. Johannesburg, March 2018.
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Citation
Docrat, Raeesa (2018) Generating functions in branching processes and birth and death processes, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/25850>