Estimating vaccine efficacy from small outbreaks

Biometrika

Volumn 91, Issue 2, 2004, Pages 363-382

  Becker, Niels G ^a   Britton, Tom ^b  

^a The Australian National University   (Australia)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Epidemic; Estimation; Infectivity; Measles outbreak data; Multitype branching process; Susceptibility; Vaccine efficacy

Indexed keywords

HUMAN ECHOVIRUS 1;

EID: 24944481705     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/91.2.363     Document Type: Article

References (17)

1. ANDERSSON, H. & BRITTON, T. (2000). Stochastic Models and their Statistical Analysis, Lecture Notes in Statistics 151. New York: Springer.
2. BALL, F. & CLANCY, D. (1993). The final size and severity of a generalised stochastic multitype epidemic model. Adv. Appl. Prob. 25, 721-36.
3. BALL, F., MOLLISON, D. & SCALIA-TOMBA, G. (1997). Epidemics with two levels of mixing. Ann. Appl. Prob. 7, 46-89.
4. BARTOSZYŃSKI, R. (1972). On a certain model of an epidemic. Applic. Math. 13, 139-51.
5. BECKER, N. G. (1989). Analysis of Infectious Disease Data. London: Chapman and Hall.
6. BECKER, N. G. & DIETZ, K. (1996). Reproduction numbers and critical immunity levels for epidemics in a community of households. In Proc. Athens Conf. Appl. Prob. Time Series, Volume 1: Applied Probability, Lecture Notes in Statistics 114, Ed. C. C. Heyde, Y. V. Prohorov, R. Pyke and S. T. Rachev, pp. 267-76. New York: Springer.
7. BECKER, N. G. & MARSCHNER, I. C. (1990). The effect of heterogeneity on the spread of disease. In Stochastic Processes in Epidemic Theory, Lecture Notes in Biomathematics 86, Ed. J.-P. Gabriel, C. Lefèvre and P. Picard, pp. 90-103. New York: Springer.
8. BECKER, N. G. & STARCZAK, D. N. (1998). The effect of random vaccine response on the vaccination coverage required to prevent epidemics. Math. Biosci. 154, 117-35.
9. BECKER, N. G. & UTEV, S. (2002). Protective vaccine efficacy when vaccine response is random. Biomet. J. 44, 29-42.
10. DE SERRES, G., GAY, N. J. & FARRINGTON, C. P. (2000). Epidemiology of transmissible diseases after elimination. Am. J. Epidemiol. 11, 1039-48.
11. HALL, R. & BECKER, N. G. (1996). Preventing epidemics in a community of households. Epidemiol. Inf. 117, 443-55.
12. HALLORAN, M. E., LONGINI, I. M. & STRUCHINER, C. J. (1999). Design and interpretation of vaccine field studies. Epidemiol. Rev. 21, 73-88.
13. JAGERS, P. (1975). Branching Processes with Biological Applications. London: Wiley.
14. ORENSTEIN, W. A., BERNIER, R. H., DONDERO, T. J., HINMAN, A. R., MARKS, J. S., BART, K. J. & SIROTKIN, B. (1985). Field evaluation of vaccine efficacy. Bull. World Health Organ. 63, 1055-68.
15. ORENSTEIN, W. A., BERNIER, R. H. & HINMAN, A. R. (1988). Assessing vaccine efficacy in the field: further observations. Epidemiol. Rev. 10, 212-41.
16. RAO, C. R. (1973). Linear Statistical Inference and its Applications, 2nd ed. New York: Wiley.
17. SMITH, P. G., RODRIGUES, L. C. & FINE, P. E. M. (1984). Assessment of the protective efficacy of vaccines against common diseases using case-control and cohort studies. Int. J. Epidemiol. 13, 87-96.