Branching process models for surveillance of infectious diseases controlled by mass vaccination

Farrington, C. P.; Kanaan, M. N. and Gay, N. J. (2003). Branching process models for surveillance of infectious diseases controlled by mass vaccination. Biostatistics, 4(2) pp. 279–295.

DOI (Digital Object Identifier) Link:	https://doi.org/10.1093/biostatistics/4.2.279
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Abstract

Mass vaccination programmes aim to maintain the effective reproduction number R of an infection below unity. We describe methods for monitoring the value of R using surveillance data. The models are based on branching processes in which R is identified with the offspring mean. We derive unconditional likelihoods for the offspring mean using data on outbreak size and outbreak duration. We also discuss Bayesian methods, implemented by Metropolis–Hastings sampling. We investigate by simulation the validity of the models with respect to depletion of susceptibles and under-ascertainment of cases. The methods are illustrated using surveillance data on measles in the USA.

Item Type:	Journal Item
Copyright Holders:	2003 Oxford University Press
ISSN:	1468-4357
Academic Unit/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID:	2275
Depositing User:	Paddy Farrington
Date Deposited:	09 Jun 2006
Last Modified:	04 Oct 2016 09:46
URI:	http://oro.open.ac.uk/id/eprint/2275
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