5 papers
Bias Reduction for nonparametric Estimators applied to functional Data Analysis
Melanie Birke, Tim Greger
Compared to nonparametric estimators in the multivariate setting, kernel estimators for functional data models have a larger order of bias. This is problematic for constructing con…
Testing exogeneity in the functional linear regression model
Manuela Dorn, Melanie Birke, Carsten Jentsch
We propose a novel test statistic for testing exogeneity in the functional linear regression model. In contrast to Hausman-type tests in finite dimensional linear regression setups…
The independence process in conditional quantile location-scale models and an application to testing for monotonicity
Melanie Birke, Natalie Neumeyer, Stanislav Volgushev
In this paper the nonparametric quantile regression model is considered in a location-scale context. The asymptotic properties of the empirical independence process based on covari…
Significance testing in quantile regression
Stanislav Volgushev, Melanie Birke, Holger Dette +1
We consider the problem of testing significance of predictors in multivariate nonparametric quantile regression. A stochastic process is proposed, which is based on a comparison of…
A note on random orthogonal polynomials on a compact interval
M. Birke, H. Dette
We consider a uniform distribution on the set of moments of order corresponding to probability measures on the interval . To each (random)…