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math.ST2025
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…
math.ST2022
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…
math.ST2016
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…