Buch, Englisch, 114 Seiten, Format (B × H): 158 mm x 236 mm, Gewicht: 213 g
Reihe: SpringerBriefs in Statistics
Buch, Englisch, 114 Seiten, Format (B × H): 158 mm x 236 mm, Gewicht: 213 g
Reihe: SpringerBriefs in Statistics
ISBN: 978-4-431-55928-3
Verlag: Springer Japan
Considerable interest has been given to the estimation problem of integrated volatility and covariance by using high-frequency financial data. Although several new statistical estimation procedures have been proposed, each method has some desirable properties along with some shortcomings that call for improvement. For estimating integrated volatility, covariance, and the related statistics by using high-frequency financial data, the SIML method has been developed by Kunitomo and Sato to deal with possible micro-market noises.
The authors show that the SIML estimator has reasonable finite sample properties as well as asymptotic properties in the standard cases. It is also shown that the SIML estimator has robust properties in the sense that it is consistent and asymptotically normal in the stable convergence sense when there are micro-market noises, micro-market (non-linear) adjustments, and round-off errors with the underlying (continuous time) stochastic process. Simulation results are reported in a systematic way as are some applications of the SIML method to the Nikkei-225 index, derived from the major stock index in Japan and the Japanese financial sector.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
- Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
Weitere Infos & Material
1. Introduction.- 2. High-Frequency Financial Data and Statistical Problems.- 3. The SIML method.- 4. Asymptotic Properties.- 5. Simulation and Finite Sample Properties.- 6. Asymptotic Robustness.- 7. Two Dimension Applications.- 8. Concluding Remarks.- 9. References.