Residential College | false |
Status | 已發表Published |
Pre-averaging estimate of high dimensional integrated covariance matrix with noisy and asynchronous high-frequency data | |
Liu, Zhi1; Xia, Xiaochao2; Zhou, Guoliang3 | |
2018-07 | |
Source Publication | RANDOM MATRICES-THEORY AND APPLICATIONS |
ISSN | 2010-3263 |
Volume | 7Issue:3 |
Abstract | With rapid development of the global market, the number of financial securities has significantly grown, which greatly challenges the measuring of financial quantities. Among others, the estimation of covariance matrix which plays an important role in risk management becomes no longer accurate. In this paper, we consider the estimation of integrated covariance matrix of semi-martingales under framework of high dimension by using high frequency data. We assume that the multivariate asset prices are observed asynchronously and all the observed prices are contaminated by microstructure noise. We employ the pre-averaging method to remove the microstructure noise and the generalized synchronization method to deal with the non-synchronicity. Moreover, to avoid the inconsistency in the high-dimensional covariance matrix estimation, we propose a regularized estimate. The consistency under matrix l(2)-norm is established. Compared to existing results, our estimator improves the accuracy of the estimation. Finally, we assess the theoretical results via some simulation studies. |
Keyword | High-frequency Data Volatility Estimation Microstructure Noise |
DOI | 10.1142/S2010326318500053 |
URL | View the original |
Indexed By | SCIE ; SSCI |
Language | 英語English |
WOS Research Area | Physics ; Mathematics |
WOS Subject | Physics, Mathematical ; Statistics & Probability |
WOS ID | WOS:000435720800001 |
Publisher | WORLD SCI PUBL CO INC |
The Source to Article | WOS |
Scopus ID | 2-s2.0-85042766090 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | 1.Univ Macau, Ave Univ, Taipa, Macau, Peoples R China 2.Huazhong Agr Univ, Wuhan 43D070, Hubei, Peoples R China 3.Shanghai Univ Finance & Econ, Shanghai 200433, Peoples R China |
First Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Liu, Zhi,Xia, Xiaochao,Zhou, Guoliang. Pre-averaging estimate of high dimensional integrated covariance matrix with noisy and asynchronous high-frequency data[J]. RANDOM MATRICES-THEORY AND APPLICATIONS, 2018, 7(3). |
APA | Liu, Zhi., Xia, Xiaochao., & Zhou, Guoliang (2018). Pre-averaging estimate of high dimensional integrated covariance matrix with noisy and asynchronous high-frequency data. RANDOM MATRICES-THEORY AND APPLICATIONS, 7(3). |
MLA | Liu, Zhi,et al."Pre-averaging estimate of high dimensional integrated covariance matrix with noisy and asynchronous high-frequency data".RANDOM MATRICES-THEORY AND APPLICATIONS 7.3(2018). |
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