38 Result(s)
within
Chapter
Hans-Georg Müller
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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
Functional Data Analysis for Big Data: A Case Study on California Temperature Trends
In recent years, detailed historical records, remote sensing, genomics and medical imaging applications as well as the rise of the Internet-of-Things present novel data streams. Many of these data are instance...
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Chapter
Function Estimation
The following is a brief review of three landmark papers of Peter Bickel on theoretical and methodological aspects of nonparametric density and regression estimation and the related topic of goodness-of-fit te...
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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
Wissenschaftlich Beschäftigte als Verlierer der Hochschulreformen Die Prekarisierung der Beschäftigungsverhältnisse des wissenschaftlichen Mittelbaus am Beispiel Nordrhein-Westfalens
Die nordrhein-westfälischen Hochschulen wurden in den letzten Jahren mit einer Vielzahl neoliberaler Reformen, Umstellungen der Studienstruktur und neuer gesetzlicher Regelungen überzogen. Neben der Einführung...
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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
Statistical Tools for the Analysis of Nutrition Effects on the Survival of Cohorts
We discuss various methods which can be employed for the comparative analysis of samples of response curves. In the application discussed here, these curves are hazard functions, each generated by the survival...
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Chapter
Statistical Models for Quantitative Bioassay
We discuss various statistical approaches useful in the analysis of nutritional dose-response data with a continuous response. The emphasis is on the multivariate case with several predictors. The methods whic...
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Chapter
Applications of Multiparameter Weak Convergence for Adaptive Nonparametric Curve Estimation
We give an overview on applications of weak convergence of stochastic processes to obtain adaptive nonparametric curve estimators through efficient data-based local bandwidth choices. We point out new developm...
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Chapter
Introduction
If we analyse longitudinal data, we are usually interested in the estimation of the underlying curve which produces the observed measurements. This curve describes the time course of some measured quantity lik...
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Chapter
Further Applications
The remarks made here concern typical problems in the medical field which can as well be encountered in other fields of application. Longitudinal medical data are not only collected with the aim of description...
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Chapter
Nonparametric Regression Methods
Besides kernel estimators, commonly used nonparametric regression estimators are local least squares estimators and smoothing splines. Besides these estimators, we also discuss orthogonal series estimators whi...
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Chapter
Fortran Routines for Kernel Smoothing and Differentiation
The programs listed below are suited for kernel estimation and differentiation (υ=0–3) with estimators (4.4); various kernels of different orders can be chosen and there are two options for bandwidth choices: ...
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Chapter
Nonparametric Estimation of the Human Height Growth Curve
As an example of an application of some of the methods discussed before, the analysis of the human height growth curve by nonparametric regression methods is considered. The data that are analysed were obtaine...
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Chapter
Longitudinal Data and Regression Models
There exist several kinds of longitudinal data, i.e., measurements (observations) of the same quantity (occurrence) on the same subject at different time points, each of which requires different methods for an...
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Chapter
Consistency Properties of Moving Weighted Averages
We consider here the usual fixed design regression model $$ Y_{i,n} {\text{ = g(t}}_{i,n} ) + \varepsilon _{i,n} $$ with tri...
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Chapter
Kernel and Local Weighted Least Squares Methods
It is assumed from now on that in the model (2.1) $$ {\text{Y}}_i {\text{,n-g(t}}_{i,n} ) + \varepsilon _{i,n} {\text{ ,i = 1,}}...{\text{,n}}...
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Chapter
Multivariate Kernel Estimators
The kernel estimate (4.4) can be generalized to the case of a multivariate regression function g: A → ℝ where A ⊂ ℝm, m ≥ 1. The proofs usually can be generalized from the univariate case without difficulty. Ther...
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Chapter
Longitudinal Parameters
In biomedical settings, a common problem is the comparison and description of samples of curves. Assuming there are N subjects and nj measurements are made for the j-th subject, we might describe the situation by...
