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Jump-robust estimation of volatility with simultaneous presence of microstructure noise and multiple observations
Liu, Zhi
2017-04
Source PublicationFINANCE AND STOCHASTICS
ABS Journal Level3
ISSN0949-2984
Volume21Issue:2Pages:427-469
Abstract

In this paper, we develop the multipower estimators for the integrated volatility in (Barndorff-Nielsen and Shephard in J. Financ. Econom. 2:1-37, 2004); these estimators allow the presence of jumps in the underlying driving process and the simultaneous presence of microstructure noise and multiple records of observations. By multiple records we mean more than one observation recorded on a single time stamp, as often seen in stock markets, in particular, for heavily traded securities, for a data set with even millisecond frequency. We establish the consistency and asymptotic normality of the estimators for both noise-free and noise-present cases. Simulation studies confirm our theoretical results. We apply the estimators to a real high-frequency data set.

KeywordIntegrated Volatility High-frequency Data Multiple Observations Stable Convergence
DOI10.1007/s00780-017-0325-7
URLView the original
Indexed BySCIE ; SSCI
Language英語English
WOS Research AreaBusiness & Economics ; Mathematics ; Mathematical Methods In Social Sciences
WOS SubjectBusiness, Finance ; Mathematics, Interdisciplinary Applications ; Social Sciences, Mathematical Methods ; Statistics & Probability
WOS IDWOS:000398726200004
PublisherSPRINGER HEIDELBERG
The Source to ArticleWOS
Scopus ID2-s2.0-85015210844
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniv Macau, Taipa, Macau, Peoples R China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Liu, Zhi. Jump-robust estimation of volatility with simultaneous presence of microstructure noise and multiple observations[J]. FINANCE AND STOCHASTICS, 2017, 21(2), 427-469.
APA Liu, Zhi.(2017). Jump-robust estimation of volatility with simultaneous presence of microstructure noise and multiple observations. FINANCE AND STOCHASTICS, 21(2), 427-469.
MLA Liu, Zhi."Jump-robust estimation of volatility with simultaneous presence of microstructure noise and multiple observations".FINANCE AND STOCHASTICS 21.2(2017):427-469.
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