Cai Tianxi, Betensky Rebecca A
Department of Biostatistics, Harvard University, Boston, Massachusetts 02115, USA.
Biometrics. 2003 Sep;59(3):570-9. doi: 10.1111/1541-0420.00067.
This article introduces a new approach for estimating the hazard function for possibly interval- and right-censored survival data. We weakly parameterize the log-hazard function with a piecewise-linear spline and provide a smoothed estimate of the hazard function by maximizing the penalized likelihood through a mixed model-based approach. We also provide a method to estimate the amount of smoothing from the data. We illustrate our approach with two well-known interval-censored data sets. Extensive numerical studies are conducted to evaluate the efficacy of the new procedure.
本文介绍了一种用于估计可能存在区间删失和右删失生存数据的风险函数的新方法。我们用分段线性样条对对数风险函数进行弱参数化，并通过基于混合模型的方法最大化惩罚似然来提供风险函数的平滑估计。我们还提供了一种从数据中估计平滑量的方法。我们用两个著名的区间删失数据集来说明我们的方法。进行了广泛的数值研究以评估新方法的有效性。
