Nonparametric Analysis of Truncated Survival Data, with Application to AIDS
针对输血感染艾滋病病毒后发病时间的截尾数据，提出非参数方法估计和比较不同群体的诱导期分布，解决感染人数未知且发病时间被右截断的统计推断问题。
One source of data for the induction distribution of aids arises from persons infected by the aids virus from contaminated blood transfusions. Analyses of these data are complicated because the number of individuals infected by transfusion is unknown; information is available only for those who are infected and develop aids within a certain chronologic time interval. The statistical problem is one of making inferences about a stochastic process of infection and disease for which realizations are right truncated in chronologic time. By considering the process in reverse time, we transform the problem to one of analysing survival data that are left truncated in internal time. We develop nonparametric methods for estimating and comparing the identifiable aspects of the induction distributions of several groups.