A frailty mixture model for estimating vaccine efficacy

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 45, Issue 2, 1996, Pages 165-173

  Longini Jr , Ira M ^a   Halloran, M Elizabeth ^b  

^a EMORY UNIVERSITY   (United States)

^b NONE

Author keywords

Frailty model; Infectious disease; Mixture model; Outbreak model; Survival analysis; Vaccine efficacy

Indexed keywords

EID: 0040158194     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.2307/2986152     Document Type: Article

References (17)

1. Aalen, O. (1988) Heterogeneity in survival analysis. Statist. Med., 1, 1121-1137.
2. _ (1992) Modeling heterogeneity in survival analysis by the compound Poisson distribution. Ann. Appl. Probab., 2, 951-972.
3. Brunet, R. C., Struchiner, C. J. and Halloran, M. E. (1993) On the distribution of vaccine protection under heterogeneous response. Math. Biosci., 116, 111-125.
4. Chen, R. T., Weierbach, R., Bisoffi, Z., Cutts, F., Rhodes, P., Ramarsosn, S., Ntembagara, C. and Bizimana, F. (1994) A 'post-honeymoon period' measles outbreak in Muyinga Sector, Burundi. Int. J. Epidem., 23, 185-193.
5. Farewell, V. T. (1977) A model for a binary variable with time-censored observations. Biometrika, 64, 43-46.
6. Greenwood, M. and Yule, U. G. (1915) The statistics of anti-typhoid and anti-cholera inoculations, and the interpretations of such statistics in general. Proc. R. Soc. Med., 8, 113-194.
7. Halloran, M. E., Haber, M. and Longini, I. M. (1992) Interpretation and estimation of vaccine field efficacy under heterogeneity. Am. J. Epidem., 136, 328-343.
8. Halloran, M. E., Longini, I. M. and Struchiner, C. J. (1996) Estimability and interpretation of vaccine efficacy using frailty mixing models. Am. J. Epidem., to be published.
9. Hougaard, P., Myglegaard, P. and Borch-Johnsen, K. (1994) Heterogeneity models of disease susceptibility, with application to diabetic nephropathy. Biometrics, 50, 1178-1188.
10. Longini, I. M., Halloran, M. E. and Haber, M. (1993a) Estimation of vaccine efficacy from epidemics of acute infectious agents under vaccine-related heterogeneity. Math. Biosci., 117, 271-281.
11. Longini, I. M., Halloran, M. E., Haber, M. and Chen, R. T. (1993b) Measuring vaccine efficacy from outbreaks of acute infectious agents. Statist. Med., 12, 249-263.
12. Rhodes, P. H., Halloran, M. E. and Longini, I. M. (1996) Counting process models for infectious disease data: distinguishing exposure to infection from susceptibility. J. R. Statist. Soc. B, to be published.
13. Satten, G. A. and Longini, I. M. (1994) Estimation of incidence of HIV infection using cross-sectional marker surveys. Biometrics, 50, 675-688.
14. Smith, P. G., Rodrigues, L. C. and Fine, P. E. M. (1984) Assessment of the protective efficacy of vaccines against common diseases using case-control and cohort studies. Int. J. Epidem., 13, 87-93.
15. Struchiner, C. J., Brunet, R., Halloran, M. E., Massad, E. and Azevedo-Neto, R. S. (1996) On the use of state-space models for the evaluation of health interventions. J. Biol. Syst., 3, in the press.
16. Struchiner, C. J., Halloran, M. E., Robins, J. M. and Spielman, A. (1990) The behavior of common measures of association used to assess a vaccination program under complex disease transmission patterns - a computer simulation study of malaria vaccines. Int. J. Epidem., 19, 187-196.
17. Svensson, Å. (1991) Analyzing effects of vaccines. Math. Biosci., 107, 407-412.