consistency;
multiple linear regression;
non-parametric likelihood;
semi-parametric estimation;
D O I:
10.1111/j.1467-9469.2006.00491.x
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
Consider the model Y =beta'X + epsilon. Let F-0 be the unknown cumulative distribution funtion of the random variable epsilon. Consistency of the semi-parametric Maximum likelihood estimator of (beta, F-0), denoted by (beta, F), has not been established under any interval censorship (IC) model. We prove in this paper that beta is consistant under the mixed case IC model and some mild assumptions.