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On integrated volatility of Ito semimartingales when sampling times are endogenous
Li, C. X.; Chen, J. Y.; Liu, Z.; Jing, B. Y.
2014-11-21
Source PublicationCommunications in Statistics–Theory and Methods
ISSN0361-0926
Pages5263-5275
Abstract

In this paper, we estimate the integrated volatility of Itˆo semimartingale when sampling times are endogenous. The estimator is proved to be consistent, and is robust to jumps, regardless of whether they are finite and infinite activity jumps. We also establish a central limit theorem for the estimator in a general endogenous time setting when the jumps have finite variation. Simulation is also included to illustrate the performance of the proposed procedure.

KeywordIto Semimartingale High Frequency Data Central Limit Theorem Jumps Endogeneity
DOI10.1080/03610926.2012.730169
Language英語English
The Source to ArticlePB_Publication
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorLiu, Z.
Recommended Citation
GB/T 7714
Li, C. X.,Chen, J. Y.,Liu, Z.,et al. On integrated volatility of Ito semimartingales when sampling times are endogenous[J]. Communications in Statistics–Theory and Methods, 2014, 5263-5275.
APA Li, C. X.., Chen, J. Y.., Liu, Z.., & Jing, B. Y. (2014). On integrated volatility of Ito semimartingales when sampling times are endogenous. Communications in Statistics–Theory and Methods, 5263-5275.
MLA Li, C. X.,et al."On integrated volatility of Ito semimartingales when sampling times are endogenous".Communications in Statistics–Theory and Methods (2014):5263-5275.
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