A Semiparametric Proportional Odds Regression Model for the Analysis of Current Status Data
提出一种半参数比例优势回归模型，用于分析当前状态数据中协变量对生存概率的影响，通过最大似然估计得到回归参数，并证明其渐近正态性和半参数有效性。
Abstract An approach to covariate analysis of current status data is described. The method is applicable when the logit of the conditional probability of survival given the covariates is some increasing function of time plus a linear combination of the covariates. The approach is based on approximating the infinite-dimensional nuisance parameter, the baseline log-odds of failure, with a step function, and carrying out a maximum likelihood procedure. The resulting finite dimensional parameter estimates for the regression parameters are shown to be asymptotically normal and semiparametric efficient. Numerical studies with small and moderate samples are discussed.