Limit Theorems for Moving Averages of Discretized Processes Plus Noise

This paper presents some limit theorems for certain functionals of moving averages of semi-martingales plus noise, which are observed at high frequency. Our method generalizes the pre-averaging approach (see [13],[11]) and provides consistent estimates for various characteristics of general semi-martingales. Furthermore, we prove the associated multidimensional (stable) central limit theorems. As expected, we find central limit theorems with a convergence rate n1=4, if n is the number of observations

Year of publication:	2008
Authors:	Jacod, Jean ; Podolskij, Mark ; Vetter, Mathias
Publisher:	[S.l.] : SSRN

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