Consistency and bandwidth selection for dependent data in non-parametric functional data analysis [Elektronische Ressource] / Simon Peter Müller. Betreuer: Jürgen Dippon

Consistency and Bandwidth Selectionfor Dependent Data inNon-Parametric Functional Data AnalysisVon der Fakultät Mathematik und Physikder Universität Stuttgartzur Erlangung der Würde einesDoktors der Naturwissenschaften (Dr. rer. nat.)genehmigte AbhandlungvonSimon Peter Müllergeboren in TettnangHauptberichter: Priv.-Doz. Dr. J. DipponMitberichter: Prof. Dr. I. SteinwartTag der Einreichung: 26.7.2011Tag der mündlichen Prüfung: 27.9.2011Institut für Stochastik und Anwendungen2011A C K N O W L E D G M E N T SDuring my time at the Institute of Stochastic and Applications as a research andteaching assistant I drank thousands of cups of coffee, gave hundreds of tutorials,organised several lectures, i. e. probability theory, mathematical statistics, optimisa-tion and biostatistics, designed certification exams for them, was a recording clerkof countless oral examinations, and wrote a book. This work was, at times, chal-lenging, exhausting, and sometimes even frustrating, but well, finally I made it.This book would not have been possible without the great support and the highlyappreciated scientific freedom that was granted me by my doctoral advisor PD Dr.J. Dippon. Special thanks to him! Furthermore, I would like to thank Prof. Dr. I.Steinwart for the co-examination of my thesis.Apart from that, there are some more people whom I owe a debt of gratitude. Inthe first place, Dr. Fritz and Prof.