4 papers · 1 filter
Statistical inference for the slope parameter in functional linear regression
Tim Kutta, Gauthier Dierickx, Holger Dette
In this paper we consider the linear regression model with functional regressors and responses. We develop new inference tools to quantify deviations of the t…
Quantifying deviations from separability in space-time functional processes
Holger Dette, Gauthier Dierickx, Tim Kutta
The estimation of covariance operators of spatio-temporal data is in many applications only computationally feasible under simplifying assumptions, such as separability of the cova…
Detecting structural breaks in eigensystems of functional time series
Holger Dette, Tim Kutta
Detecting structural changes in functional data is a prominent topic in statistical literature. However not all trends in the data are important in applications, but only those of…
The empirical process of residuals from an inverse regression
Tim Kutta, Nicolai Bissantz, Justin Chown +1
In this paper we investigate an indirect regression model characterized by the Radon transformation. This model is useful for recovery of medical images obtained by computed tomogr…