Markovian simple counting processes and models of ordered random variables [Elektronische Ressource] / vorgelegt von Björn Lenz

Markovian Simple Counting ProcessesandModels of Ordered Random VariablesVon der Fakult at fur Mathematik, Informatik undNaturwissenschaften der Rheinisch-Westf alischen TechnischenHochschule Aachen zur Erlangung des akademischen Gradeseines Doktors der Naturwissenschaften genehmigte Dissertationvorgelegt vonDiplom-MathematikerBj orn Lenzaus T onisvorstBerichter: Universit atsprofessor Dr. Udo KampsUniversit atsprofessor Dr. Erhard CramerTag der mundlic hen Prufung: 20. Februar 2008Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfugbar.AcknowledgementsFirst of all, I would like to thank my supervisor Professor Udo Kamps forintroducing me to this interesting research topic, and for giving me the op-portunity and freedom, as well as constant encouragement, to persue my ownway to tackle the problems we were aiming for.Furthermore, I am grateful to Professor Erhard Cramer for accepting to beco-referee.I thank Eric Beutner for being interested in my work, for always having anopen ear for my mathematical problems, and for always having helpful com-ments, thoughts, or books at hand.I am also thankful for many interesting and fruitful discussions with MarcoBurkschat, thank you.Special thanks go to all (former and current) colleagues at the \Institut furStatistik und Wirtschaftsmathematik" for a nice and enjoyable time as wellas for a productive working environment.