Models are studied where the response Y and covariates X, T are assumed to fulfill E(Y|X; T) = G{XT Ø + » + m1(T1) + … + md(Td)}. Here G is a known (link) function, Ø is an unknown parameter, and m1, …, md are unknown functions. In particular, we consider additive binary response models...

We consider the component analysis problem for a regression model with an additive structure. The problem is to check the hypothesis of linearity for each component without specifying the structure of the remaining components. In this paper we show that under mild conditions on the design and...

Motivated by a nonparametric GARCH model we consider nonparametric additive regression and autoregression models in the special case that the additive components are linked parametrically. We show that the parameter can be estimated with parametric rate and give the normal limit. Our procedure...

A primary goal in modelling the dynamics of implied volatility surfaces (IVS) aims at reducing complexity. For this purpose one fits the IVS each day and applies a principal component analysis using a functional norm. This approach, however, neglects the degenerated string structure of the...

Single index models are frequently used in econometrics and biometrics. Logit and Probit models are special cases with fixed link functions. In this paper we consider a bootstrap specification test that detects nonparametric deviations of the link function. The bootstrap is used with the aim to...

In dieser Arbeit werden zwei Methoden zur Ermittlung der Eigenkapitalunterlegung von Risikopositionen und die Auswirkungen unterschiedlicher Verteilungsannahmen auf das Value-at-Risk (VaR) untersucht. Die empirischen Ergebnisse basieren auf zwei Beispielportfolios aus DAX-Aktien und einer...