Limit theorems for multipower variation in the presence of jumps
In this paper we provide a systematic study of how the probability limit and central limit theorem for realised multipower variation changes when we add finite activity and infinite activity jump processes to an underlying Brownian semimartingale.
Year of publication: |
2006
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Authors: | Barndorff-Nielsen, Ole E. ; Shephard, Neil ; Winkel, Matthias |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 116.2006, 5, p. 796-806
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Publisher: |
Elsevier |
Keywords: | Bipower variation Infinite activity Multipower variation Power variation Quadratic variation Semimartingales Stochastic volatility |
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