Abstract: 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).

Key words: curvature, perturbation, influence matrix, local influence, curvature, perturbation, influence matrix