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Reversing the Coarse : Statistical Methods for Recovering Structure from Aggregated, Sparse, and Discretized Data
Mühlbauer, Michael (2026): Reversing the Coarse : Statistical Methods for Recovering Structure from Aggregated, Sparse, and Discretized Data, Bamberg: Otto-Friedrich-Universität, doi: 10.20378/irb-117096.
Author:
Corporate Body:
Otto-Friedrich-University Bamberg
Publisher Information:
Year of publication:
2026
Pages:
Supervisor:
Language:
English
Remark:
Kumulative Dissertation, Otto-Friedrich-Universität Bamberg, 2026
DOI:
Abstract:
Empirical research often works with data coarser than the question demands: a survey too sparse for district-level estimates, geocoordinates collapsed into regional totals, a continuous preference recorded on a five-point scale. This cumulative dissertation treats these as one problem — coarsened data — and recovers fine-grained structure by combining the coarse observation with auxiliary information.
Chapter 1 estimates district-level person-kilometers traveled from the German household travel survey Mobilität in Deutschland 2017 with a log-transformed Fay-Herriot model across 1,590 domains. Covariates from official statistics and the INKAR database are selected in a three-phase LASSO procedure, reducing coefficients of variation by 16–44% against direct estimation.
Chapter 2 extends kernel density estimation from aggregated data by integrating auxiliary spatial information through a correlation-based weighting scheme. The estimator is assessed in model-based simulations and in an evaluation study on population densities from the 2022 German Census in Bavaria, and then applied to brown hare hunting bag data in Lower Saxony.
Chapter 3 applies the mixed-effects frequency-adjusted borders ordinal forest to lexical preference ratings in Maltese English and contributes partial dependence routines in R. It recovers curved, non-monotonic age trajectories that the cumulative link mixed model does not.
Chapter 1 estimates district-level person-kilometers traveled from the German household travel survey Mobilität in Deutschland 2017 with a log-transformed Fay-Herriot model across 1,590 domains. Covariates from official statistics and the INKAR database are selected in a three-phase LASSO procedure, reducing coefficients of variation by 16–44% against direct estimation.
Chapter 2 extends kernel density estimation from aggregated data by integrating auxiliary spatial information through a correlation-based weighting scheme. The estimator is assessed in model-based simulations and in an evaluation study on population densities from the 2022 German Census in Bavaria, and then applied to brown hare hunting bag data in Lower Saxony.
Chapter 3 applies the mixed-effects frequency-adjusted borders ordinal forest to lexical preference ratings in Maltese English and contributes partial dependence routines in R. It recovers curved, non-monotonic age trajectories that the cumulative link mixed model does not.
GND Keywords: ;
Coarse graining
Parameterschätzung
Keywords: ; ; ; ; ;
Coarsened data
Small area estimation
Fay-Herriot model
Kernel density estimation
Ordinal data
Random forests
DDC Classification:
RVK Classification:
Type:
Doctoralthesis
Activation date:
September 14, 2026
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https://fis.uni-bamberg.de/handle/uniba/117096