TY - THES A1 - Wellisch, Ulrich T1 - Asymptotic behaviour of solutions of estimating equations with functional parameter KW - Estimating equations KW - Gleichungen Y1 - 2018 ER - TY - RPRT A1 - Pruschka, H. A1 - Wellisch, Ulrich T1 - Asymptotic behaviour of estimation equations with functional nuisance or working parameter. N2 - We are concerned with the asymptotic theory of semiparametric estimation equations. We are dealing with estimation equations which have a parametric component of interest and a functional (nonparametric) nuisance component. We give sufficient conditions for the existence and the asymptotic normality of a consistent estimation equation estimator for the parameter of interest. These conditions concern the asymptotic distribution of the estimation function and of its derivative as well as the effect of the functional nuisance part in the estimation equation. In order to treat the nonparametric component we introduce a general differential calculus and a general mean value theorem. For the nonparametric part in the estimation equation we distinguish two cases: the situation of a (classical) nuisance parameter and the case of a so called working parameter. As a special case we get regularity conditions for estimation equations with finite dimensional nuisance or working parameter. As an example we present the semiparametric linear regression model. KW - Estimating equations KW - Asymptotic distribution KW - semiparametric linear regression model Y1 - 1997 ER -