首页> 外文期刊>Statistica Sinica >A FRAILTY MODEL APPROACH FOR REGRESSION ANALYSIS OF BIVARIATE INTERVAL-CENSORED SURVIVAL DATA
【24h】

A FRAILTY MODEL APPROACH FOR REGRESSION ANALYSIS OF BIVARIATE INTERVAL-CENSORED SURVIVAL DATA

机译:二元区间删失生存数据回归分析的脆弱模型方法

获取原文
获取原文并翻译 | 示例
           

摘要

Owing to the fact that general semiparametric inference procedures are still underdeveloped for multivariate interval-censored event time data, we propose semiparametric maximum likelihood estimation for the gamma-frailty Cox model under mixed-case interval censoring. We establish the consistency of the semiparametric maximum likelihood estimator (SPMLE) for the model parameters, including the regression coefficients and the cumulative hazard functions in the Cox model, and the variance of the gamma frailty. The SPMLEs of the cumulative hazard functions are shown to have a n~(1/3)-rate of convergence, while those of the regression coefficients and the frailty variance have a n~(1/2)-rate of convergence; here n denotes the number of study units. The asymptotic normality of the regression coefficients and the frailty variance is also established, with the asymptotic variance given by the inverse of the efficient Fisher information matrix. A profile-likelihood approach is proposed for estimating the asymptotic variance. Based on the self-consistency equations and the contraction principle, we propose a stable and efficient computation algorithm. Simulation results reveal that the large sample theories work quite well in finite samples. We analyze a dataset from an AIDS clinical trial by the proposed methods to assess the effects of the baseline CD4 cell counts on the times to CMV shedding in blood and urine.
机译:由于对于多变量间隔删节的事件时间数据而言,一般的半参数推理程序仍不完善,因此我们提出了混合情况间隔删失下伽玛脆弱Cox模型的半参数最大似然估计。我们建立模型参数的半参数最大似然估计器(SPMLE)的一致性,包括Cox模型中的回归系数和累积危害函数以及伽玛脆弱性的方差。累积危害函数的SPMLEs的收敛率为n〜(1/3),而回归系数和脆弱方差的SPMLEs的收敛率为n〜(1/2)。在这里,n表示学习单元的数量。还建立了回归系数的渐近正态性和脆弱性方差,其中渐近方差由有效的Fisher信息矩阵的逆给出。提出了一种轮廓似然方法来估计渐近方差。基于自洽方程和收缩原理,提出了一种稳定高效的计算算法。仿真结果表明,大样本理论在有限样本中效果很好。我们通过提出的方法来分析来自艾滋病临床试验的数据集,以评估基线CD4细胞计数对血液和尿液中CMV脱落时间的影响。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号