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High-Frequency Asymptotics for Lipschitz-Killing Curvatures of Excursion Sets on the Sphere
High-Frequency Asymptotics Spherical Ran-dom Fields Gaussian Subordination Lipschitz-Killing Curvatures Minkowski Functionals Excursion Sets
2013/5/2
In this paper, we shall be concerned with geometric functionals and excursion probabilities for some nonlinear transforms evaluated on Fourier components of spherical random fields. In particular, we ...
High-Frequency Tail Index Estimation by Nearly Tight Frames
High-Frequency Tail Index Estimation Nearly Tight Frames
2013/4/27
This work develops the asymptotic properties (weak consistency and Gaussianity), in the high-frequency limit, of approximate maximum likelihood estimators for the spectral parameters of Gaussian and i...
Estimation for Lévy processes from high frequency data within a long time interval
Adaptive nonparametric estimation high frequency data L´ evy processes projection estimators power variation
2011/6/17
In this paper, we study nonparametric estimation of the L´evy
density for L´evy processes, with and without Brownian component.
For this, we consider n discrete time observations with st...
Vast volatility matrix estimation for high-frequency financial data
Convergence rate diffusion integrated volatility matrix norm micro-structure noise realized volatility
2010/3/10
High-frequency data observed on the prices of financial assets
are commonly modeled by diffusion processes with micro-structure
noise, and realized volatility-based methods are often used to estimat...