中文摘要：

为了弥补传统非参数统计教材对非参数估计论述不足的缺陷，在参数、半参数和非参数模型假设下分别讨论Cox模型的估计问题，并通过数值模拟来比较这三种模型假设，以说明同一问题在参数，半参数和非参数模型假设下的估计有不同的有效性和精确度．

英文摘要：

As a supplemental material, a comparison study of Cox model under the assumptions of parametric, semi-parametric and non-parametric methods is performed. A simulation is carried out to assess the performances of the proposed models which shows the effects and accuracies of the estimations based on the different model assumptions.