Residential College | false |
Status | 已發表Published |
Realized Laplace Transforms for Pure Jump Semi-martingales with Presence of Microstructure Noise | |
Li Wang1; Zhi Liu1; Xiaochao Xia2 | |
2019-10-08 | |
Source Publication | Soft Computing |
ISSN | 1432-7643 |
Abstract | This paper considers the estimation of integrated Laplace transform of local ‘volatility’ by using noisy high-frequency data. We allow for the presence of microstructure noise under a pure jump semimartingale over a fixed time interval [0, t]. We propose an efficient estimator for the integrated Laplace transform of volatility via applying the pre-averaging method. Under some mild conditions on the Lévy density, the asymptotic properties of the estimator including consistency and asymptotic normality are established. Simulation studies further confirm our theoretical results. |
Keyword | High-frequency Data Laplace Transform Microstructure Noise Pure Jump Processes |
DOI | 10.1007/s00500-018-3237-3 |
Language | 英語English |
WOS ID | WOS:000471064400033 |
Scopus ID | 2-s2.0-85047155092 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology Faculty of Health Sciences DEPARTMENT OF MATHEMATICS |
Affiliation | 1.University of Macau, Avenida da Universidade, Taipa, Macau, China 2.Huazhong Agricultural University, Xiyuan 64, Shizishan Street 1, Hongshan District, Wuhan, China |
First Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Li Wang,Zhi Liu,Xiaochao Xia. Realized Laplace Transforms for Pure Jump Semi-martingales with Presence of Microstructure Noise[J]. Soft Computing, 2019. |
APA | Li Wang., Zhi Liu., & Xiaochao Xia (2019). Realized Laplace Transforms for Pure Jump Semi-martingales with Presence of Microstructure Noise. Soft Computing. |
MLA | Li Wang,et al."Realized Laplace Transforms for Pure Jump Semi-martingales with Presence of Microstructure Noise".Soft Computing (2019). |
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