Flexible Approaches in Functional Data and Age-Period-Cohort Analysis With Application on Complex Geoscience Data
MCML Authors
Alexander Bauer
Dr.
* Former Member
Abstract
Alexander Bauer
Dr.
* Former Member
Abstract
This dissertation develops new approaches for robustly estimating functional data structures and analyzing age-period-cohort (APC) effects, with applications in seismology and tourism science. The first part introduces a method that separates amplitude and phase variation in functional data, adapting a likelihood-based registration approach for generalized and incomplete data, demonstrated on seismic data. The second part presents generalized functional additive models (GFAMs) for analyzing associations between functional data and scalar covariates, along with practical guidelines and an R package. The final part addresses APC analysis, proposing new visualization techniques and a semiparametric estimation approach to disentangle temporal dimensions, with applications to tourism data, and is supported by the APCtools R package. (Shortened.)
BibTeXKey: Bau22