Construct and Estimate the Random Model about the Longtitudinal Data Under Competing Risks[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2007,46(1):7-10.
Construct and Estimate the Random Model about the Longtitudinal Data Under Competing Risks[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2007,46(1):7-10.DOI:
竞争风险下纵列数据的随机效应建模和估计
摘要
为研究包含右删失的纵列生存数据
对每种风险建立一个COX比例危险模型
采用每种风险的危险率上都乘一个随机效应因子的方法
体现不同风险的危险率之间的联系
虽然这样做从通常的随机效应的边际似然估计方法来看是大大增加了难度
但更加符合实际。在模型估计上
采用等级似然估计方法
从而避免了求后验分布的积分运算
简化了估计过程。对竞争风险下比例危险的随机效应模型的等级似然函数
给出了推导和估计步骤。
Abstract
In order to study the multivariate survival data
a unique random variable is applied to multiply each competing hazard to reveal the relation of different causes
and COX Proportional Hazard model is assumed for each competing hazard.This looks more difficult of estimating intensively in traditional view
but it is more coincident with the actual facts.Using hierarchical likelihood approach
the multidimensional integral is avoided
and the hierarchical likelihood function and the process of estimating model are derived.