Historical HIV incidence modelling in regional subgroups: Use of flexible discrete models with penalized splines based on prior curves

Statistics in Medicine

Volumn 15, Issue 5, 1996, Pages 513-525

  Greenland, Sander ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; INCIDENCE; INFECTION RATE; STATISTICAL MODEL; UNITED STATES;

ADULT; HIV INFECTIONS; HUMANS; INCIDENCE; LINEAR MODELS; LOS ANGELES; MALE;

EID: 0029975832     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960315)15:5<513::AID-SIM175>3.0.CO;2-8     Document Type: Article

References (22)

1. Brookmeyer, R. 'Reconstruction and future trends of the AIDS epidemic in the United States', Science, 253, 37-42 (1991).
2. Rosenberg, P. S. and Gail, M. H. 'Backcalculation of flexible linear models of the human immunodeficiency virus', Applied Statistics, 40, 269-282 (1991).
3. Liao, J. and Brookmeyer, R. 'An empirical Bayes approach to smoothing in back-calculation for AIDS infection rates', Biometric, 51, in press (1995).
4. Becker, N. G. and Marschner, I. C. 'A method for estimating the age-specific relative risk of HIV infection from AIDS incidence data', Biometrika, 80, 165-178 (1993).
5. Bacchetti, P., Segal, M R. and Jewell, N. P. 'Backcalculation of HIV infection rates', Statistical Science, 8, 82-119 (1993).
6. Brookmeyer, R. and Gail, M. H. AIDS Epidemiology: A Quantitative Approach, Oxford, New York, 1994.
7. Pagano, M., DeGruttola, V., MaWhinney, S. and Tu, X. M. 'The HIV epidemic in New York City, Statistical methods for projecting AIDS incidence and prevalence', In Jewell, N. P., Dietz, K. and Farewell, V. T. (eds) AIDS Epidemiology. Methodological Issues, Birkhäuser, Boston 1992.
8. Hastie, T. and Tibshirani, R. Generalized Additive Models, Chapman Hall, New York, 1990.
9. Green, P. J. and Silverman, B. W. Nonparametric Regression and Generalized Additive Models, Chapman and Hall, New York, 1994.
10. Rosenberg, P. S. 'Backcalculation of age-specific HIV incidence rates', Statistics in Medicine, 13, 1975-1990 (1994).
11. Magnus, J. R. and Neudecker, M. Matrix Differential Calculus, Wiley, New York, 1988.
12. Taylor, J. M. G. and Chun, R. 'Semi-parametric estimation of the incubation period of AIDS', in Dietz, R. Farewell, V. T. and Jewell, N. P. (eds) Statistical Methodology for Study of the AIDS Epidemic, Birkhäuser, Boston, 1992.
13. Alcabes, P., Muñoz, A., Vlahov, D. and Friedland, G. H. 'Incubation period of human immunodeficiency virus', Epidemiologic Reviews, 15, 304-318 (1993).
14. Rosenberg, P. S., Goedert, J. J. and Biggar, R. J. 'Effect of age at seroconversion on the natural AIDS incubation distribution', AIDS, 8, 803-810 (1994).
15. Titterington, D. M. 'Common structure of smoothing techniques in statistics', International Statistical Review, 53, 141-170 (1985).
16. Commenges, D. and Etcheverry, B. 'An empirical Bayes approach to the estimation of the incidence curve of HIV infection', Statistic in Medicine, 12, 1317-1324 (1993).
17. Seber, G. A. F. and Wild, C. J. Nonlinear Regression, Wiley, New York, 1989.
18. Aptech Systems. GAUSS 3.2, Maple Valley, WA, 1994.
19. Greenland, S. 'Methods for epidemiologic analyses of multiple exposures: a review and comparative study of maximum-likelihood, preliminary-testing, and empirical-Bayes regression', Statistics in Medicine, 12, 717-736 (1993).
20. McCullagh, P. and Neider, J. Generalized Linear Models, Chapman and Hall, New York, 1989.
21. Durrleman, S. and Simon, R. 'Flexible regression models with cubic splines', Statistics in Medicine, 8, 551-561 (1989).
22. Silverman, B. W. Density Estimation for Statistics and Data Analysis, Chapman and Hall, New York, 1986.