This paper studies a class of Markov models which consist of two components. Typically, one of the components is observable and the other is unobservable or 'hidden'. Conditions under which (a form of) geometric ergodicity of the unobservable component is inherited by the joint process formed of...

Multi-fractal processes have recently been proposed as a new formalism for modelling the time series of returns in finance. The major attraction of these processes is their ability to generate various degrees of long memory in different powers of returns - a feature that has been found in...

Inaugural -Dissertation zur Erlangung des Grades eines Doktors der Wirtschafts -und Sozialwissenschaften der Wirtschafts -und Sozialwissenschaftlichen Fakultät der Christian -Albrechts -Universität zu Kiel The objective of this study is the development and application of models for financial...