The Total Progeny of a Multitype Branching Process

Techniques from algebra and matrix theory are employed to study the total progeny of a multitype branching process from the point of probability generating functions. A result for the total progeny of different types of individuals having identical offspring distribution is developed, which extends the classic Dwass formula from single case to multitype case. An example with Poisson distributed offspring having different distributions of children is given to illustrate that total progeny does not preserve similar structure as Dwass' formula in general.

Master of Science (MSc)

Thesis

Country

Canada

Related Organizations

McMaster University
Canada

Keywords

total progeny, multitype branching process, matrix theory, functions

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