摘要
对于截断与删失下的反映变量,我们提出了一类广义乘积限估计,并获得了它的弱收敛性.在回归分析中,利用这类广义乘积限估计来定义一种最小距离的参数估计,并获得了这种参数估计的相合性和渐近正态性.
A class of the generalized product-limit estimators is introduced for regression analysis in the presence of both left-truncation and right-censoring on the response variable. The weak convergence of the generalized product-limit estimators is established. These generalized product-limit estimators are used to define some minimum distance estimator of the parameter vector in the regression analysis. The consistent and asymptotic normality of the minimum distance estimators are obtained under certain assumptions.
出处
《应用数学学报》
CSCD
北大核心
2005年第1期1-10,共10页
Acta Mathematicae Applicatae Sinica
基金
湖北省自然科学基金(98j081)湖北省教育厅科学研究重大项目(2002204001)资助项目国家自然科学基金(10471140)资助项目.