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Estimation of vaccine efficacy and the vaccination threshold.
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Estimation of vaccine efficacy and the vaccination threshold.

Author: PS Yip Affiliation: Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong. sfpyip@hku.hk; R Watson; Q Chen
Edition/Format: Article Article : English
Publication:Statistics in medicine, 2007 Oct 30; 26(24): 4475-88
  Peer-reviewed
Other Databases: WorldCat
Summary:
This paper considers the effect of imperfect vaccination in a susceptible-infected-removal (SIR) epidemic model. The minimum proportion of the population that needs to be vaccinated to prevent a major epidemic depends on the vaccine efficacy and the basic reproductive rate for the SIR model, allowing for imperfect and variable vaccination. Martingale theory is used to derive estimates and associated standard errors  Read more...
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Details

Document Type: Article
All Authors / Contributors: PS Yip Affiliation: Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong. sfpyip@hku.hk; R Watson; Q Chen
ISSN:0277-6715
Language Note: English
Unique Identifier: 173236625
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Abstract:

This paper considers the effect of imperfect vaccination in a susceptible-infected-removal (SIR) epidemic model. The minimum proportion of the population that needs to be vaccinated to prevent a major epidemic depends on the vaccine efficacy and the basic reproductive rate for the SIR model, allowing for imperfect and variable vaccination. Martingale theory is used to derive estimates and associated standard errors for these parameters. Asymptotic properties of the resulting estimators are investigated. Data for a mumps outbreak are used as an illustrative example.
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