A METHOD OF NONPARAMETRIC BACK-PROJECTION AND ITS APPLICATION TO AIDS DATA

被引:107
作者
BECKER, NG
WATSON, LF
CARLIN, JB
机构
[1] Department of Statistics, La Trobe University, Bundoora, Victoria
[2] Department of Community Medicine, The University of Melbourne, Parkville, Victoria
关键词
D O I
10.1002/sim.4780101005
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The method of back-projection has been used to estimate the unobserved past incidence of infection with the human immunodeficiency virus (HIV) and to obtain projections of future AIDS incidence. Here a new approach to back-projection, which avoids parametric assumptions about the form of the HIV infection intensity, is described. This approach gives the data greater opportunity to determine the shape of the estimated intensity function. The method is based on a modification of an EM algorithm for maximum likelihood estimation that incorporates smoothing of the estimated parameters. It is easy to implement on a computer because the computations are based on explicit formulae. The method is illustrated with applications to AIDS data from Australia, U.S.A. and Japanese haemophiliacs.
引用
收藏
页码:1527 / 1542
页数:16
相关论文
共 21 条
[1]  
Short‐term prediction of HIV infection and AIDS in England and Wales, (1988)
[2]  
Tango T., Estimation of haemophilia‐associated AIDS incidence in Japan using individual dates of diagnosis, Statistics in Medicine, 8, pp. 1509-1514, (1989)
[3]  
Curran J.W., Morgan M.W., Hardy A.M., Jaffe H.W., Darrow W.W., Dowdle W.R., The epidemiology of AIDS: current status and future prospects, Science, 229, pp. 1352-1357, (1985)
[4]  
McEvoy M., Tillett H.E., Some problems in the prediction of future numbers of cases of the acquired immunodeficiency syndrome in the U.K., Lancet, 2, pp. 541-542, (1985)
[5]  
Isham V., Mathematical modelling of the transmission dynamics of HIV infection and AIDS: a review, Journal of the Royal Statistical Society. Series A (Statistics in Society), 151, pp. 5-30, (1988)
[6]  
De Gruttola V., Lagakos S.W., The value of AIDS incidence data in assessing the spread of HIV infection, Statistics in Medicine, 8, pp. 35-43, (1989)
[7]  
Day N.E., Gore S.M., McGee M.A., South M., Predictions of the AIDS epidemic in the U.K.: the use of the back projection method, Philosophical Transactions of the Royal Society of London, B, 325, pp. 123-134, (1989)
[8]  
Rosenberg P.S., Gail M.H., Backcalculation of flexible linear models of the human immunodeficiency virus infection curve, Applied Statistics, 40, pp. 269-282, (1991)
[9]  
Taylor J.M., Models for the HIV infection and AIDS epidemic in the United States, Statistics in Medicine, 8, pp. 45-58, (1989)
[10]  
Brookmeyer R., Gail M.H., A method for obtaining short‐term projections and lower bounds on the size of the AIDS epidemic, Journal of the American Statistical Association, 83, pp. 301-308, (1988)