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http://hdl.handle.net/11375/21410| Title: | The Total Progeny of a Multitype Branching Process |
| Authors: | Wei, Xingli |
| Advisor: | Hoppe, Fred M. |
| Department: | Statistics |
| Keywords: | total progeny, multitype branching process, matrix theory, functions |
| Publication Date: | Mar-2008 |
| 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> |
| URI: | http://hdl.handle.net/11375/21410 |
| Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Wei_Xingli_2008Mar_Masters..pdf | 815.51 kB | Adobe PDF | View/Open |
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