基于交互作用的生存函数中混杂因子的判断准则  

Criteria for confounders in survival function based on the interaction

作　　者：范凯旋 李开灿 FAN Kai-xuan;LI Kai-can(School of Mathematics and Statistics,Beijing Technology and Business University,Beijing 102488,China;College of Arts and Sciences of Hubei Normal University,Huangshi 435109,China)

机构地区：[1]北京工商大学数学与统计学院,北京102488 [2]湖北师范大学文理学院,湖北黄石435109

出　　处：《高校应用数学学报（A辑）》2024年第4期426-438,共13页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11471105)。

摘　　要：该文利用协变量在总体与子群体的潜在分布中的差异性,讨论了在生存函数中,协变量是连续型的条件下,基于多暴露且存在交互作用的混杂因子判断准则问题,得到了协变量是一维情况下一致无混杂和一致无关因子的充要条件,同时也得到了协变量是多维情况下条件一致无混杂和条件一致无关因子向量的充分条件,从而给出了基于交互作用的生存函数中判断单个混杂因子和多重混杂因子的准则.In this paper,the criteria for confounders in survival function based on the interac-tion under the condition that the covariate is continuous are discussed.When the covariate is one-dimensional,the necessary and sufficient conditions for the uniform non-confounding and uniformly irrelevant factor are obtained by utilizing the potential distribution difference of the covariate between the population and subpopulation.Then the sufficient conditions for the conditional uniform non-confounding and conditional uniformly irrelevant factor vector are also obtained when the covariate is multidimensional.Further,the criteria for detecting a single confounder and multiple confounders in survival function based on the interaction are proposed.

关 键 词：交互作用 混杂偏倚 混杂因子 一致无混杂 一致无关因子 

分 类 号：O212.4[理学—概率论与数理统计]