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Nonlinear, non-Gaussian state space models have found wide applications in many areas. Since such models usually do not allow for an analytical representation of their likelihood function, sequential Monte Carlo or particle filter methods are mostly applied to estimate their parameters. Since...
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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...
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This dissertation contains applications of agent-based financial market models and nonlinear econometric methods in financial economics. The first part deals with the analysis of the effectiveness of currency transaction taxes within financial market models with traders with heterogeneous...
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theory, which provide a statistical justification for the emergence of power laws as limiting behavior for extreme … fluctuations. The remarkable generality of the theory allows to abstract from the details of the system under investigation, and … therefore allows its application in many diverse fields. Moreover, this theory offers new powerful techniques for the estimation …
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The volatility specification of the Markov-switching Multifractal (MSM) model is proposed as an alternative mechanism for realized volatility (RV). We estimate the RV-MSM model via Generalized Method of Moments and perform forecasting by means of best linear forecasts derived via the...
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This chapter provides an overview over the recently developed so called multifractal (MF) approach for modeling and forecasting volatility. We outline the genesis of this approach from similar models of turbulent flows in statistical physics and provide details on different specifications of...
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This paper shows how exact solutions for the transient density of a large class of continuous-time Markov switching models can be obtained. We illustrate the pertinent approach for both simple diffusion models with a small number of regimes as well as for the more complicated so-called Poisson...
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