半参数广义线性模型的局部影响分析

Local Influence for Semiparametric Generalized Linear Model

分析半参数广义线性模型的局部影响,分别对加权扰动模型,响应变量扰动模型,自变量扰动模型得到了影响矩阵的计算公式．最后分析了实际数据,证实了方法的有效性．本文结果是 Cook(1986)和 Wei(1998)关于线性模型和指数族非线性模型的工作在半参数模型中的推广和发展．

This paper discusses the local influence measures for semiparametric generalized linear model. The counting formulas of influence matrix for case weights perturbation model ,mean shift perturbation model and arguments perturbation model are derived. An example is given for data analyses and illustrates that our method is available. It is an extension on semiparametric model of the corresponding conclusion about linear model and expenential family nonlinear model of Cook（1986）,Wei（1998）.