A Frailty Mixture Model for Estimating Vaccine Efficacy

Ira M. Longini and M. Elizabeth Halloran

Journal of the Royal Statistical Society Series C, 1996, vol. 45, issue 2, 165-173

Abstract: Vaccines can have heterogeneous effects on the host's immune response. Some vaccinated people may have a strong response and be highly protected against infectious challenge, but others may only derive varying levels of partial protection. We derive a statistical model for estimating vaccine efficacy that expresses the often unmeasured heterogeneous host response and other vaccine effects in terms of estimable parameters. In addition, the model incorporates the infection process into the base‐line hazard rate. The model falls into the general category of frailty models (with point mass at 0) employed in survival analysis. As an example, we estimate the efficacy of a measles vaccine from a measles outbreak in Burundi.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:bla:jorssc:v:45:y:1996:i:2:p:165-173

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