一阶线性自回归模型下药物剂量水平的统计分析  

The Highest Dose Level for No Increased Toxicity Response in Longitudinal Data

作　　者：李春红[1] 张忠占[1] 

机构地区：[1]北京工业大学 应用数理学院,北京100022

出　　处：《北京工业大学学报》2006年第7期661-666,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金(10371005);教育部优秀青年教师基金(VE00074).

摘　　要：考虑在一阶线性自回归模型下不会导致风险显著增加的最高剂量的估计问题,基于赤池信息准则的思想提出了一个新的估计方法,证明了该估计的强相合性,并通过模拟说明了其对于中小样本的优良性．This paper is focused on the estimation of the highest dose level for no increased toxicity response in longitudinal data. A new estimator is proposed based on the idea of AIC. The estimator is strongly consistent when the number of subjects in trial goes to infinity, and is proved good by simulations with respect to population distribution for small and moderate sample sizes.

关 键 词：赤池信息准则 药物毒性 试验 自回归 强相合估计 稳健性 

分 类 号：O213[理学—概率论与数理统计]