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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/21410
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DC FieldValueLanguage
dc.contributor.advisorHoppe, Fred M.-
dc.contributor.authorWei, Xingli-
dc.date.accessioned2017-05-10T18:16:03Z-
dc.date.available2017-05-10T18:16:03Z-
dc.date.issued2008-03-
dc.identifier.urihttp://hdl.handle.net/11375/21410-
dc.description.abstract<p> 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.</p>en_US
dc.language.isoen_USen_US
dc.subjecttotal progeny, multitype branching process, matrix theory, functionsen_US
dc.titleThe Total Progeny of a Multitype Branching Processen_US
dc.typeThesisen_US
dc.contributor.departmentStatisticsen_US
dc.description.degreetypeThesisen_US
dc.description.degreeMaster of Science (MSc)en_US
Appears in Collections:Digitized Open Access Dissertations and Theses

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