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On the Estimation of Integrated Volatility With Jumps and Microstructure Noise
Jing B.-Y.2; Liu Z.3; Kong X.-B.1
2014
Source PublicationJournal of Business and Economic Statistics
ABS Journal Level4
ISSN15372707 07350015
Volume32Issue:3Pages:457-467
Abstract

In this article, we propose a nonparametric procedure to estimate the integrated volatility of an Itô semimartingale in the presence of jumps and microstructure noise. The estimator is based on a combination of the preaveraging method and threshold technique, which serves to remove microstructure noise and jumps, respectively. The estimator is shown to work for both finite and infinite activity jumps. Furthermore, asymptotic properties of the proposed estimator, such as consistency and a central limit theorem, are established. Simulations results are given to evaluate the performance of the proposed method in comparison with other alternative methods.

KeywordCentral Limit Theorem High Frequency Data Quadratic Variation Semimartingale
DOI10.1080/07350015.2014.906350
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaBusiness & Economics ; Mathematical Methods In Social Sciences ; Mathematics
WOS SubjectEconomics ; Social Sciences, Mathematical Methods ; Statistics & Probability
WOS IDWOS:000339707800015
Scopus ID2-s2.0-84907690855
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Soochow University
2.Hong Kong University of Science and Technology
3.Universidade de Macau
Recommended Citation
GB/T 7714
Jing B.-Y.,Liu Z.,Kong X.-B.. On the Estimation of Integrated Volatility With Jumps and Microstructure Noise[J]. Journal of Business and Economic Statistics, 2014, 32(3), 457-467.
APA Jing B.-Y.., Liu Z.., & Kong X.-B. (2014). On the Estimation of Integrated Volatility With Jumps and Microstructure Noise. Journal of Business and Economic Statistics, 32(3), 457-467.
MLA Jing B.-Y.,et al."On the Estimation of Integrated Volatility With Jumps and Microstructure Noise".Journal of Business and Economic Statistics 32.3(2014):457-467.
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