267 citations · 996 across the 18 of their papers we have counts for
6 papers · 1 filter
Simultaneous inference for Berkson errors-in-variables regression under fixed design
Katharina Proksch, Nicolai Bissantz, Hajo Holzmann
In various applications of regression analysis, in addition to errors in the dependent observations also errors in the predictor variables play a substantial role and need to be in…
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…
Risk Estimators for Choosing Regularization Parameters in Ill-Posed Problems - Properties and Limitations
Felix Lucka, Katharina Proksch, Christoph Brune +4
This paper discusses the properties of certain risk estimators recently proposed to choose regularization parameters in ill-posed problems. A simple approach is Stein's unbiased ri…
Multiscale inference for a multivariate density with applications to X-ray astronomy
Konstantin Eckle, Nicolai Bissantz, Holger Dette +2
In this paper we propose methods for inference of the geometric features of a multivariate density. Our approach uses multiscale tests for the monotonicity of the density at arbitr…
Additive inverse regression models with convolution-type operators
T. Hildebrandt, N. Bissantz, H. Dette
In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predic…
Confidence bands for multivariate and time dependent inverse regression models
Katharina Proksch, Nicolai Bissantz, Holger Dette
Uniform asymptotic confidence bands for a multivariate regression function in an inverse regression model with a convolution-type operator are constructed. The results are derived…