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Chapter and Conference Paper
Go with the Flow: Personalized Task Sequencing Improves Online Language Learning
Machine learning (ML) based adaptive learning promises great improvements in personalized learning for various learning contexts. However, it is necessary to look into the effectiveness of different interventi...
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Chapter and Conference Paper
Functional Varying Coefficient Models
Functional varying coefficient models provide a versatile and flexible analysis tool for relating longitudinal responses to longitudinal predictors. Two key innovations are: Representing the varying coefficien...
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Chapter and Conference Paper
Empirical Dynamics and Functional Data Analysis
We review some recent developments on modeling and estimation of dynamic phenomena within the framework of Functional Data Analysis (FDA). The focus is on longitudinal data which correspond to sparsely and irr...
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Chapter and Conference Paper
Determination of Particle Size Distributionsof Swollen (Hydrated) Particlesby Analytical Ultracentrifugation
The classic idea of a particle is that of a hard particle for example a hard sphere. Deviations from this idea may refer to differences in shape. It may have the shape of an ellipsoid or a cylinder. Thes...
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Chapter and Conference Paper
Computer Aided Decision Support for Post-Transplant Renal Allograft Rejection
Following renal transplantation a patient has to be monitored closely in order to detect the onset of a rejection episode as soon as possible. The decision whether to enhance immuno-suppressive therapy - with ...
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Chapter and Conference Paper
Nichtparametrische Regression für die Analyse von Verlaufskurven
Zur Analyse biomedizinischer Verlaufskurven werden Methoden der nicht-parametrischen Regression vorgeschlagen, insbesondere Kernschätzer und glättende Splines. Die grundlegenden Ideen und einige asymptotische ...
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Chapter and Conference Paper
Optimal convergence properties of kernel estimates of derivatives of a density function
We consider kernel estimates for the derivatives of a probability density which satisfies certain smoothness conditions. We derive the rate of convergence of the local and of the integrated mean square error (...
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Chapter and Conference Paper
Kernel estimation of regression functions
For the nonparametric estimation of regression functions with a one-dimensional design parameter, a new kernel estimate is defined and shown to be superior to the one introduced by Priestley and Chao (1972). T...