Residential College | false |
Status | 已發表Published |
Rate efficient estimation of realized Laplace transform of volatility with microstructure noise | |
Li Wang1; Zhi Liu1; Xiaochao Xia2 | |
2019-09 | |
Source Publication | SCANDINAVIAN JOURNAL OF STATISTICS |
ABS Journal Level | 3 |
ISSN | 0303-6898 |
Volume | 46Issue:3Pages:920-953 |
Abstract | In this paper, we consider the problem of estimating the Laplace transform of volatility within a fixed time interval [0,T ] using high‐frequency sampling, where we assume that the discretized observations of the latent process are contaminated by microstructure noise. We use the pre‐averaging approach to deal with the effect of microstructure noise. Under the high‐frequency scenario, we obtain a consistent estimator whose convergence rate is , which is known as the optimal convergence rate of the estimation of integrated volatility functionals under the presence of microstructure noise. The related central limit theorem is established. The simulation studies justify the finite‐sample performance of the proposed estimator. |
Keyword | High-frequency Data Stable Convergence Laplace Transform Of Volatility Microstructure Noise Pre-averaging |
DOI | 10.1111/sjos.12365 |
Indexed By | SCIE ; SSCI |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Statistics & Probability |
WOS ID | WOS:000479058100011 |
Scopus ID | 2-s2.0-85057262186 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology |
Corresponding Author | Zhi Liu |
Affiliation | 1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau 2.College of Science, Huazhong Agricultural University, Wuhan, China |
First Author Affilication | Faculty of Science and Technology |
Corresponding Author Affilication | Faculty of Science and Technology |
Recommended Citation GB/T 7714 | Li Wang,Zhi Liu,Xiaochao Xia. Rate efficient estimation of realized Laplace transform of volatility with microstructure noise[J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2019, 46(3), 920-953. |
APA | Li Wang., Zhi Liu., & Xiaochao Xia (2019). Rate efficient estimation of realized Laplace transform of volatility with microstructure noise. SCANDINAVIAN JOURNAL OF STATISTICS, 46(3), 920-953. |
MLA | Li Wang,et al."Rate efficient estimation of realized Laplace transform of volatility with microstructure noise".SCANDINAVIAN JOURNAL OF STATISTICS 46.3(2019):920-953. |
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