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Lower bounds for volatility estimation in microstructure noise models
Brownian motion Variance estimation Kullback-Leibler divergence Minimaxrate Microstructure noise
2010/3/10
In this paper we derive lower bounds in minimax sense for estimation of the instantaneous
volatility if the diffusion type part cannot be observed directly but under
some additional Gaussian noise. ...
Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise
Asymptotic equivalence volatility estimation microstructure noise
2010/10/18
The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam's sens...
Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise
High-frequency data integrated volatility spot volatility estimation Le Cam defciency equivalence of experiments Gaussianshift
2010/4/27
The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam's sens...
Asymptotic equivalence and sufficiency for volatility estimation under microstructure noise
High-frequency data integrated volatility spot volatilityestimation Le Cam deficiency equivalence of experiments
2010/3/9
The basic model for high-frequency data in finance is considered,
where an efficient price process is observed under microstructure noise.
It is shown that this nonparametric model is in Le Cam’s se...
Non-Parametric Volatility Estimation in Continuous Time
Non-Parametric Volatility Estimation Continuous Time
2009/9/17
Non-Parametric Volatility Estimation in Continuous Time。