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Research interests |
- Modelling and statistical inference for
continuous time financial models, especially
stochastic volatility models and models with
jump components.
- Analysis of market microstructure and model
risk.
- Modelling of turbulence and climate data.
- Limit theorems for semimartingales, fractional
Brownian motion and Gaussian processes.
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Publications:
2002:
Expansions of transition distributions of Lévy
processes in small time
2003:
Variational sums and power variation: a unifying approach to
model selection and estimation in semimartingale models
Purely
discontinuous Lévy Processes and Power Variation:
inference for integrated volatility and the scale
parameter
Local asymptotic normality for the scale parameter of
stable processes
2004:
Estimating the skewness in discretely observed Lévy
processes
2005:
Estimation of integrated volatility in stochastic volatility
models
2006:
Power and Multipower Variation: inference for high frequency
data
Power variation of some integral fractional processes
Analyzing the
fine structure of continuous time stochastic processes
2007:
Inference in Lévy-type stochastic volatility models
A Functional Central Limit Theorem for the Realized
Power Variation of Integrated Stable Processes
2008:
Volatility estimates for high frequency data: market
microstructure noise versus fractional Brownian motion models
2009:
Bipower Variation for Gaussian Processes with Stationary
Increments
Convergence of certain functionals of integral fractional
processes
2011:
Analyzing the fine structure of continuous time stochastic
processes
A unifying approach to fractional Lévy
processes
2014:
Statistical convergence of Markov experiments to diffusion
limits
The Gumbel test for jumps instochastic volatility models