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Liptser, R.
Spokoiny, Vladimir G.
Year of Publication: 
Series/Report no.: 
Discussion Papers, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes 1998,102
We consider a two-scaled diffusion system, when drift and diffusion parameters of the 'slow' component are contaminated by the ' fast' unobserved component. The goal is to estimate the dynamic function which is defined by averaging the drift coefficient of the 'slow' component w.r.t. the stationary distribution of the 'fast' one. We apply a locally linear smoother with a datadriven bandwidth choice. The procedure is fully adaptive and nearly optimal up to a log log factor.
bandwidth selection
fast and slow components
drift and diffusion coefficients
averaging principle
nonparametric estimation
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Working Paper

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