Farrington, C. P. and Grant, A. D.
(1999).
| DOI (Digital Object Identifier) Link: | https://doi.org/10.1239/jap/1032374633 |
|---|---|
| Google Scholar: | Look up in Google Scholar |
Abstract
We consider the distribution of the number of generations to extinction in subcritical branching processes, with particular emphasis on applications to the spread of infectious diseases. We derive the generation distributions for processes with Bernoulli, geometric and Poisson offspring, and discuss some of their distributional and inferential properties. We present applications to the spread of infection in highly vaccinated populations, outbreaks of enteric fever, and person-to-person transmission of human monkeypox
| Item Type: | Article |
|---|---|
| Copyright Holders: | 1999 Applied Probrability Trust |
| ISSN: | 0021-9002 |
| Keywords: | Branching process; power series family; extinction; generation distribution; maximum likelihood estimation; epidemic model |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 23916 |
| Depositing User: | Sarah Frain |
| Date Deposited: | 20 Apr 2011 15:01 |
| Last Modified: | 04 Oct 2016 10:46 |
| URI: | http://oro.open.ac.uk/id/eprint/23916 |
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